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Finding the Fourth Proportional to 9,760.68, 13,468.54 and 5,511.16

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Solution

The fourth proportional to 9,760.68, 13,468.54 and 5,511.16 is: 7,604.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.68 : 13,468.54 = 5,511.16 : x
  2. Step 2: Convert to fraction form
    9,760.68/13,468.54 = 5,511.16/x
  3. Step 3: Cross multiply
    9,760.68x = 13,468.54 × 5,511.16
  4. Step 4: Simplify right side
    9,760.68x = 74,227,278.91
  5. Step 5: Solve for x
    x = 74,227,278.91/9,760.68
  6. Step 6: Final answer
    x = 7,604.72

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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.