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Finding the Fourth Proportional to 9,465.48, 13,061.43 and 5,487.66

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Solution

The fourth proportional to 9,465.48, 13,061.43 and 5,487.66 is: 7,572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.48 : 13,061.43 = 5,487.66 : x
  2. Step 2: Convert to fraction form
    9,465.48/13,061.43 = 5,487.66/x
  3. Step 3: Cross multiply
    9,465.48x = 13,061.43 × 5,487.66
  4. Step 4: Simplify right side
    9,465.48x = 71,676,686.95
  5. Step 5: Solve for x
    x = 71,676,686.95/9,465.48
  6. Step 6: Final answer
    x = 7,572.43

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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.