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Finding the Fourth Proportional to 9,094.65, 12,549.92 and 5,114.97

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Solution

The fourth proportional to 9,094.65, 12,549.92 and 5,114.97 is: 7,058.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.65 : 12,549.92 = 5,114.97 : x
  2. Step 2: Convert to fraction form
    9,094.65/12,549.92 = 5,114.97/x
  3. Step 3: Cross multiply
    9,094.65x = 12,549.92 × 5,114.97
  4. Step 4: Simplify right side
    9,094.65x = 64,192,438.73
  5. Step 5: Solve for x
    x = 64,192,438.73/9,094.65
  6. Step 6: Final answer
    x = 7,058.26

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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.