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Finding the Fourth Proportional to 6,560.69, 9,861.38 and 3,792.92

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Solution

The fourth proportional to 6,560.69, 9,861.38 and 3,792.92 is: 5,701.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.69 : 9,861.38 = 3,792.92 : x
  2. Step 2: Convert to fraction form
    6,560.69/9,861.38 = 3,792.92/x
  3. Step 3: Cross multiply
    6,560.69x = 9,861.38 × 3,792.92
  4. Step 4: Simplify right side
    6,560.69x = 37,403,357.16
  5. Step 5: Solve for x
    x = 37,403,357.16/6,560.69
  6. Step 6: Final answer
    x = 5,701.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.