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Finding the Fourth Proportional to 9,387.81, 12,954.67 and 5,138.04

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Solution

The fourth proportional to 9,387.81, 12,954.67 and 5,138.04 is: 7,090.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.81 : 12,954.67 = 5,138.04 : x
  2. Step 2: Convert to fraction form
    9,387.81/12,954.67 = 5,138.04/x
  3. Step 3: Cross multiply
    9,387.81x = 12,954.67 × 5,138.04
  4. Step 4: Simplify right side
    9,387.81x = 66,561,612.65
  5. Step 5: Solve for x
    x = 66,561,612.65/9,387.81
  6. Step 6: Final answer
    x = 7,090.22

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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.