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Finding the Fourth Proportional to 9,242.68, 13,864.12 and 2,317.20

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Solution

The fourth proportional to 9,242.68, 13,864.12 and 2,317.20 is: 3,475.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.68 : 13,864.12 = 2,317.20 : x
  2. Step 2: Convert to fraction form
    9,242.68/13,864.12 = 2,317.20/x
  3. Step 3: Cross multiply
    9,242.68x = 13,864.12 × 2,317.20
  4. Step 4: Simplify right side
    9,242.68x = 32,125,938.86
  5. Step 5: Solve for x
    x = 32,125,938.86/9,242.68
  6. Step 6: Final answer
    x = 3,475.83

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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.