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Finding the Fourth Proportional to 9,617.54, 13,272.36 and 5,425.82

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Solution

The fourth proportional to 9,617.54, 13,272.36 and 5,425.82 is: 7,487.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.54 : 13,272.36 = 5,425.82 : x
  2. Step 2: Convert to fraction form
    9,617.54/13,272.36 = 5,425.82/x
  3. Step 3: Cross multiply
    9,617.54x = 13,272.36 × 5,425.82
  4. Step 4: Simplify right side
    9,617.54x = 72,013,436.34
  5. Step 5: Solve for x
    x = 72,013,436.34/9,617.54
  6. Step 6: Final answer
    x = 7,487.72

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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.