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Finding the Fourth Proportional to 9,691.38, 14,527.35 and 4,500.90

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Solution

The fourth proportional to 9,691.38, 14,527.35 and 4,500.90 is: 6,746.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.38 : 14,527.35 = 4,500.90 : x
  2. Step 2: Convert to fraction form
    9,691.38/14,527.35 = 4,500.90/x
  3. Step 3: Cross multiply
    9,691.38x = 14,527.35 × 4,500.90
  4. Step 4: Simplify right side
    9,691.38x = 65,386,149.62
  5. Step 5: Solve for x
    x = 65,386,149.62/9,691.38
  6. Step 6: Final answer
    x = 6,746.84

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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.