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Finding the Fourth Proportional to 7,142,002.02, 9,857,532.09 and 4,694,839.13

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Solution

The fourth proportional to 7,142,002.02, 9,857,532.09 and 4,694,839.13 is: 6,479,909.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142,002.02 : 9,857,532.09 = 4,694,839.13 : x
  2. Step 2: Convert to fraction form
    7,142,002.02/9,857,532.09 = 4,694,839.13/x
  3. Step 3: Cross multiply
    7,142,002.02x = 9,857,532.09 × 4,694,839.13
  4. Step 4: Simplify right side
    7,142,002.02x = 46,279,527,423,612.16
  5. Step 5: Solve for x
    x = 46,279,527,423,612.16/7,142,002.02
  6. Step 6: Final answer
    x = 6,479,909.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.