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Finding the Fourth Proportional to 9,680.11, 13,358.49 and 5,373.16

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Solution

The fourth proportional to 9,680.11, 13,358.49 and 5,373.16 is: 7,414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.11 : 13,358.49 = 5,373.16 : x
  2. Step 2: Convert to fraction form
    9,680.11/13,358.49 = 5,373.16/x
  3. Step 3: Cross multiply
    9,680.11x = 13,358.49 × 5,373.16
  4. Step 4: Simplify right side
    9,680.11x = 71,777,304.13
  5. Step 5: Solve for x
    x = 71,777,304.13/9,680.11
  6. Step 6: Final answer
    x = 7,414.93

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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.