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Finding the Fourth Proportional to 9,708,714.80, 14,572,403.40 and 4,921,809.20

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Solution

The fourth proportional to 9,708,714.80, 14,572,403.40 and 4,921,809.20 is: 7,387,444.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708,714.80 : 14,572,403.40 = 4,921,809.20 : x
  2. Step 2: Convert to fraction form
    9,708,714.80/14,572,403.40 = 4,921,809.20/x
  3. Step 3: Cross multiply
    9,708,714.80x = 14,572,403.40 × 4,921,809.20
  4. Step 4: Simplify right side
    9,708,714.80x = 71,722,589,120,231.28
  5. Step 5: Solve for x
    x = 71,722,589,120,231.28/9,708,714.80
  6. Step 6: Final answer
    x = 7,387,444.23

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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.