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Finding the Fourth Proportional to 9,132.98, 13,691.28 and 3,285.50

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Solution

The fourth proportional to 9,132.98, 13,691.28 and 3,285.50 is: 4,925.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.98 : 13,691.28 = 3,285.50 : x
  2. Step 2: Convert to fraction form
    9,132.98/13,691.28 = 3,285.50/x
  3. Step 3: Cross multiply
    9,132.98x = 13,691.28 × 3,285.50
  4. Step 4: Simplify right side
    9,132.98x = 44,982,700.44
  5. Step 5: Solve for x
    x = 44,982,700.44/9,132.98
  6. Step 6: Final answer
    x = 4,925.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.