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Finding the Fourth Proportional to 9,142.80, 13,717.86 and 3,597.54

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Solution

The fourth proportional to 9,142.80, 13,717.86 and 3,597.54 is: 5,397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.80 : 13,717.86 = 3,597.54 : x
  2. Step 2: Convert to fraction form
    9,142.80/13,717.86 = 3,597.54/x
  3. Step 3: Cross multiply
    9,142.80x = 13,717.86 × 3,597.54
  4. Step 4: Simplify right side
    9,142.80x = 49,350,550.06
  5. Step 5: Solve for x
    x = 49,350,550.06/9,142.80
  6. Step 6: Final answer
    x = 5,397.75

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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.