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Finding the Fourth Proportional to 9,760.57, 13,469.70 and 5,284.42

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Solution

The fourth proportional to 9,760.57, 13,469.70 and 5,284.42 is: 7,292.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.57 : 13,469.70 = 5,284.42 : x
  2. Step 2: Convert to fraction form
    9,760.57/13,469.70 = 5,284.42/x
  3. Step 3: Cross multiply
    9,760.57x = 13,469.70 × 5,284.42
  4. Step 4: Simplify right side
    9,760.57x = 71,179,538.86
  5. Step 5: Solve for x
    x = 71,179,538.86/9,760.57
  6. Step 6: Final answer
    x = 7,292.56

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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.