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Finding the Fourth Proportional to 9,882.71, 13,638.35 and 5,406.75

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Solution

The fourth proportional to 9,882.71, 13,638.35 and 5,406.75 is: 7,461.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.71 : 13,638.35 = 5,406.75 : x
  2. Step 2: Convert to fraction form
    9,882.71/13,638.35 = 5,406.75/x
  3. Step 3: Cross multiply
    9,882.71x = 13,638.35 × 5,406.75
  4. Step 4: Simplify right side
    9,882.71x = 73,739,121.83
  5. Step 5: Solve for x
    x = 73,739,121.83/9,882.71
  6. Step 6: Final answer
    x = 7,461.43

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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.