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Finding the Fourth Proportional to 9,138.27, 13,707.51 and 3,294.93

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Solution

The fourth proportional to 9,138.27, 13,707.51 and 3,294.93 is: 4,942.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.27 : 13,707.51 = 3,294.93 : x
  2. Step 2: Convert to fraction form
    9,138.27/13,707.51 = 3,294.93/x
  3. Step 3: Cross multiply
    9,138.27x = 13,707.51 × 3,294.93
  4. Step 4: Simplify right side
    9,138.27x = 45,165,285.92
  5. Step 5: Solve for x
    x = 45,165,285.92/9,138.27
  6. Step 6: Final answer
    x = 4,942.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.