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Finding the Fourth Proportional to 9,192.81, 13,685.24 and 9,138.13

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Solution

The fourth proportional to 9,192.81, 13,685.24 and 9,138.13 is: 13,603.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.81 : 13,685.24 = 9,138.13 : x
  2. Step 2: Convert to fraction form
    9,192.81/13,685.24 = 9,138.13/x
  3. Step 3: Cross multiply
    9,192.81x = 13,685.24 × 9,138.13
  4. Step 4: Simplify right side
    9,192.81x = 125,057,502.20
  5. Step 5: Solve for x
    x = 125,057,502.20/9,192.81
  6. Step 6: Final answer
    x = 13,603.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.