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Finding the Fourth Proportional to 9,138.83, 13,708.31 and 3,294.14

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Solution

The fourth proportional to 9,138.83, 13,708.31 and 3,294.14 is: 4,941.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.83 : 13,708.31 = 3,294.14 : x
  2. Step 2: Convert to fraction form
    9,138.83/13,708.31 = 3,294.14/x
  3. Step 3: Cross multiply
    9,138.83x = 13,708.31 × 3,294.14
  4. Step 4: Simplify right side
    9,138.83x = 45,157,007.29
  5. Step 5: Solve for x
    x = 45,157,007.29/9,138.83
  6. Step 6: Final answer
    x = 4,941.23

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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.