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Finding the Fourth Proportional to 9,241.32, 13,862.04 and 3,695.13

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Solution

The fourth proportional to 9,241.32, 13,862.04 and 3,695.13 is: 5,542.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.32 : 13,862.04 = 3,695.13 : x
  2. Step 2: Convert to fraction form
    9,241.32/13,862.04 = 3,695.13/x
  3. Step 3: Cross multiply
    9,241.32x = 13,862.04 × 3,695.13
  4. Step 4: Simplify right side
    9,241.32x = 51,222,039.87
  5. Step 5: Solve for x
    x = 51,222,039.87/9,241.32
  6. Step 6: Final answer
    x = 5,542.72

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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.