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Finding the Fourth Proportional to 9,132.30, 13,698.45 and 3,583.80

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Solution

The fourth proportional to 9,132.30, 13,698.45 and 3,583.80 is: 5,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.30 : 13,698.45 = 3,583.80 : x
  2. Step 2: Convert to fraction form
    9,132.30/13,698.45 = 3,583.80/x
  3. Step 3: Cross multiply
    9,132.30x = 13,698.45 × 3,583.80
  4. Step 4: Simplify right side
    9,132.30x = 49,092,505.11
  5. Step 5: Solve for x
    x = 49,092,505.11/9,132.30
  6. Step 6: Final answer
    x = 5,375.70

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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.