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Finding the Fourth Proportional to 8,470.99, 12,714.24 and 4,313.87

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Solution

The fourth proportional to 8,470.99, 12,714.24 and 4,313.87 is: 6,474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.99 : 12,714.24 = 4,313.87 : x
  2. Step 2: Convert to fraction form
    8,470.99/12,714.24 = 4,313.87/x
  3. Step 3: Cross multiply
    8,470.99x = 12,714.24 × 4,313.87
  4. Step 4: Simplify right side
    8,470.99x = 54,847,578.51
  5. Step 5: Solve for x
    x = 54,847,578.51/8,470.99
  6. Step 6: Final answer
    x = 6,474.75

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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.