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Finding the Fourth Proportional to 9,760.64, 13,469.13 and 5,511.42

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Solution

The fourth proportional to 9,760.64, 13,469.13 and 5,511.42 is: 7,605.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.64 : 13,469.13 = 5,511.42 : x
  2. Step 2: Convert to fraction form
    9,760.64/13,469.13 = 5,511.42/x
  3. Step 3: Cross multiply
    9,760.64x = 13,469.13 × 5,511.42
  4. Step 4: Simplify right side
    9,760.64x = 74,234,032.46
  5. Step 5: Solve for x
    x = 74,234,032.46/9,760.64
  6. Step 6: Final answer
    x = 7,605.45

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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.