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Finding the Fourth Proportional to 9,882.85, 13,638.28 and 5,406.52

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Solution

The fourth proportional to 9,882.85, 13,638.28 and 5,406.52 is: 7,460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.85 : 13,638.28 = 5,406.52 : x
  2. Step 2: Convert to fraction form
    9,882.85/13,638.28 = 5,406.52/x
  3. Step 3: Cross multiply
    9,882.85x = 13,638.28 × 5,406.52
  4. Step 4: Simplify right side
    9,882.85x = 73,735,538.36
  5. Step 5: Solve for x
    x = 73,735,538.36/9,882.85
  6. Step 6: Final answer
    x = 7,460.96

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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.