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Finding the Fourth Proportional to 7,046.71, 9,715.24 and 6,062.56

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Solution

The fourth proportional to 7,046.71, 9,715.24 and 6,062.56 is: 8,358.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.71 : 9,715.24 = 6,062.56 : x
  2. Step 2: Convert to fraction form
    7,046.71/9,715.24 = 6,062.56/x
  3. Step 3: Cross multiply
    7,046.71x = 9,715.24 × 6,062.56
  4. Step 4: Simplify right side
    7,046.71x = 58,899,225.41
  5. Step 5: Solve for x
    x = 58,899,225.41/7,046.71
  6. Step 6: Final answer
    x = 8,358.40

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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.