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Finding the Fourth Proportional to 9,242.73, 13,864.10 and 2,317.23

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Solution

The fourth proportional to 9,242.73, 13,864.10 and 2,317.23 is: 3,475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.73 : 13,864.10 = 2,317.23 : x
  2. Step 2: Convert to fraction form
    9,242.73/13,864.10 = 2,317.23/x
  3. Step 3: Cross multiply
    9,242.73x = 13,864.10 × 2,317.23
  4. Step 4: Simplify right side
    9,242.73x = 32,126,296.86
  5. Step 5: Solve for x
    x = 32,126,296.86/9,242.73
  6. Step 6: Final answer
    x = 3,475.85

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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.