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Finding the Fourth Proportional to 10,139.08, 13,976.04 and 9,324.42

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Solution

The fourth proportional to 10,139.08, 13,976.04 and 9,324.42 is: 12,853.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139.08 : 13,976.04 = 9,324.42 : x
  2. Step 2: Convert to fraction form
    10,139.08/13,976.04 = 9,324.42/x
  3. Step 3: Cross multiply
    10,139.08x = 13,976.04 × 9,324.42
  4. Step 4: Simplify right side
    10,139.08x = 130,318,397.02
  5. Step 5: Solve for x
    x = 130,318,397.02/10,139.08
  6. Step 6: Final answer
    x = 12,853.08

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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.