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Finding the Fourth Proportional to 9,092.74, 12,549.09 and 5,114.02

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Solution

The fourth proportional to 9,092.74, 12,549.09 and 5,114.02 is: 7,057.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092.74 : 12,549.09 = 5,114.02 : x
  2. Step 2: Convert to fraction form
    9,092.74/12,549.09 = 5,114.02/x
  3. Step 3: Cross multiply
    9,092.74x = 12,549.09 × 5,114.02
  4. Step 4: Simplify right side
    9,092.74x = 64,176,297.24
  5. Step 5: Solve for x
    x = 64,176,297.24/9,092.74
  6. Step 6: Final answer
    x = 7,057.97

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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.