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Finding the Fourth Proportional to 9,438.68, 13,024.31 and 5,461.04

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Solution

The fourth proportional to 9,438.68, 13,024.31 and 5,461.04 is: 7,535.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.68 : 13,024.31 = 5,461.04 : x
  2. Step 2: Convert to fraction form
    9,438.68/13,024.31 = 5,461.04/x
  3. Step 3: Cross multiply
    9,438.68x = 13,024.31 × 5,461.04
  4. Step 4: Simplify right side
    9,438.68x = 71,126,185.46
  5. Step 5: Solve for x
    x = 71,126,185.46/9,438.68
  6. Step 6: Final answer
    x = 7,535.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.