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Finding the Fourth Proportional to 6,532.92, 9,015.39 and 3,548.66

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Solution

The fourth proportional to 6,532.92, 9,015.39 and 3,548.66 is: 4,897.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.92 : 9,015.39 = 3,548.66 : x
  2. Step 2: Convert to fraction form
    6,532.92/9,015.39 = 3,548.66/x
  3. Step 3: Cross multiply
    6,532.92x = 9,015.39 × 3,548.66
  4. Step 4: Simplify right side
    6,532.92x = 31,992,508.80
  5. Step 5: Solve for x
    x = 31,992,508.80/6,532.92
  6. Step 6: Final answer
    x = 4,897.12

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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.