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Finding the Fourth Proportional to 9,161.71, 13,732.08 and 5,215.08

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Solution

The fourth proportional to 9,161.71, 13,732.08 and 5,215.08 is: 7,816.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.71 : 13,732.08 = 5,215.08 : x
  2. Step 2: Convert to fraction form
    9,161.71/13,732.08 = 5,215.08/x
  3. Step 3: Cross multiply
    9,161.71x = 13,732.08 × 5,215.08
  4. Step 4: Simplify right side
    9,161.71x = 71,613,957.04
  5. Step 5: Solve for x
    x = 71,613,957.04/9,161.71
  6. Step 6: Final answer
    x = 7,816.66

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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.