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Finding the Fourth Proportional to 9,680.89, 13,359.63 and 5,489.14

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Solution

The fourth proportional to 9,680.89, 13,359.63 and 5,489.14 is: 7,575.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.89 : 13,359.63 = 5,489.14 : x
  2. Step 2: Convert to fraction form
    9,680.89/13,359.63 = 5,489.14/x
  3. Step 3: Cross multiply
    9,680.89x = 13,359.63 × 5,489.14
  4. Step 4: Simplify right side
    9,680.89x = 73,332,879.42
  5. Step 5: Solve for x
    x = 73,332,879.42/9,680.89
  6. Step 6: Final answer
    x = 7,575.01

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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.