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Finding the Fourth Proportional to 9,201.74, 13,792.68 and 4,516.29

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Solution

The fourth proportional to 9,201.74, 13,792.68 and 4,516.29 is: 6,769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.74 : 13,792.68 = 4,516.29 : x
  2. Step 2: Convert to fraction form
    9,201.74/13,792.68 = 4,516.29/x
  3. Step 3: Cross multiply
    9,201.74x = 13,792.68 × 4,516.29
  4. Step 4: Simplify right side
    9,201.74x = 62,291,742.76
  5. Step 5: Solve for x
    x = 62,291,742.76/9,201.74
  6. Step 6: Final answer
    x = 6,769.56

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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.