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Finding the Fourth Proportional to 9,714,859.20, 14,572,288.80 and 9,434,923.20

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Solution

The fourth proportional to 9,714,859.20, 14,572,288.80 and 9,434,923.20 is: 14,152,384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714,859.20 : 14,572,288.80 = 9,434,923.20 : x
  2. Step 2: Convert to fraction form
    9,714,859.20/14,572,288.80 = 9,434,923.20/x
  3. Step 3: Cross multiply
    9,714,859.20x = 14,572,288.80 × 9,434,923.20
  4. Step 4: Simplify right side
    9,714,859.20x = 137,488,425,676,220.16
  5. Step 5: Solve for x
    x = 137,488,425,676,220.16/9,714,859.20
  6. Step 6: Final answer
    x = 14,152,384.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.