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Finding the Fourth Proportional to 9,142.90, 12,616.23 and 6,754.12

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Solution

The fourth proportional to 9,142.90, 12,616.23 and 6,754.12 is: 9,319.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.90 : 12,616.23 = 6,754.12 : x
  2. Step 2: Convert to fraction form
    9,142.90/12,616.23 = 6,754.12/x
  3. Step 3: Cross multiply
    9,142.90x = 12,616.23 × 6,754.12
  4. Step 4: Simplify right side
    9,142.90x = 85,211,531.37
  5. Step 5: Solve for x
    x = 85,211,531.37/9,142.90
  6. Step 6: Final answer
    x = 9,319.97

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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.