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Finding the Fourth Proportional to 7,070.43, 9,759.92 and 4,711.71

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Solution

The fourth proportional to 7,070.43, 9,759.92 and 4,711.71 is: 6,503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.43 : 9,759.92 = 4,711.71 : x
  2. Step 2: Convert to fraction form
    7,070.43/9,759.92 = 4,711.71/x
  3. Step 3: Cross multiply
    7,070.43x = 9,759.92 × 4,711.71
  4. Step 4: Simplify right side
    7,070.43x = 45,985,889.10
  5. Step 5: Solve for x
    x = 45,985,889.10/7,070.43
  6. Step 6: Final answer
    x = 6,503.97

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