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Finding the Fourth Proportional to 9,500.57, 14,251.47 and 3,657.18

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Solution

The fourth proportional to 9,500.57, 14,251.47 and 3,657.18 is: 5,486.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.57 : 14,251.47 = 3,657.18 : x
  2. Step 2: Convert to fraction form
    9,500.57/14,251.47 = 3,657.18/x
  3. Step 3: Cross multiply
    9,500.57x = 14,251.47 × 3,657.18
  4. Step 4: Simplify right side
    9,500.57x = 52,120,191.05
  5. Step 5: Solve for x
    x = 52,120,191.05/9,500.57
  6. Step 6: Final answer
    x = 5,486.01

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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.