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Finding the Fourth Proportional to 9,680.92, 14,428.07 and 9,486.52

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Solution

The fourth proportional to 9,680.92, 14,428.07 and 9,486.52 is: 14,138.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.92 : 14,428.07 = 9,486.52 : x
  2. Step 2: Convert to fraction form
    9,680.92/14,428.07 = 9,486.52/x
  3. Step 3: Cross multiply
    9,680.92x = 14,428.07 × 9,486.52
  4. Step 4: Simplify right side
    9,680.92x = 136,872,174.62
  5. Step 5: Solve for x
    x = 136,872,174.62/9,680.92
  6. Step 6: Final answer
    x = 14,138.34

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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.