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Finding the Fourth Proportional to 9,104.52, 13,654.38 and 6,464.28

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Solution

The fourth proportional to 9,104.52, 13,654.38 and 6,464.28 is: 9,694.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.52 : 13,654.38 = 6,464.28 : x
  2. Step 2: Convert to fraction form
    9,104.52/13,654.38 = 6,464.28/x
  3. Step 3: Cross multiply
    9,104.52x = 13,654.38 × 6,464.28
  4. Step 4: Simplify right side
    9,104.52x = 88,265,735.55
  5. Step 5: Solve for x
    x = 88,265,735.55/9,104.52
  6. Step 6: Final answer
    x = 9,694.72

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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.