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Finding the Fourth Proportional to 9,862.27, 13,609.39 and 5,385.95

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Solution

The fourth proportional to 9,862.27, 13,609.39 and 5,385.95 is: 7,432.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.27 : 13,609.39 = 5,385.95 : x
  2. Step 2: Convert to fraction form
    9,862.27/13,609.39 = 5,385.95/x
  3. Step 3: Cross multiply
    9,862.27x = 13,609.39 × 5,385.95
  4. Step 4: Simplify right side
    9,862.27x = 73,299,494.07
  5. Step 5: Solve for x
    x = 73,299,494.07/9,862.27
  6. Step 6: Final answer
    x = 7,432.31

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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.