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Finding the Fourth Proportional to 9,092.16, 13,638.24 and 6,013.44

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Solution

The fourth proportional to 9,092.16, 13,638.24 and 6,013.44 is: 9,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092.16 : 13,638.24 = 6,013.44 : x
  2. Step 2: Convert to fraction form
    9,092.16/13,638.24 = 6,013.44/x
  3. Step 3: Cross multiply
    9,092.16x = 13,638.24 × 6,013.44
  4. Step 4: Simplify right side
    9,092.16x = 82,012,737.95
  5. Step 5: Solve for x
    x = 82,012,737.95/9,092.16
  6. Step 6: Final answer
    x = 9,020.16

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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.