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Finding the Fourth Proportional to 9,760.32, 13,468.86 and 5,511.60

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Solution

The fourth proportional to 9,760.32, 13,468.86 and 5,511.60 is: 7,605.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.32 : 13,468.86 = 5,511.60 : x
  2. Step 2: Convert to fraction form
    9,760.32/13,468.86 = 5,511.60/x
  3. Step 3: Cross multiply
    9,760.32x = 13,468.86 × 5,511.60
  4. Step 4: Simplify right side
    9,760.32x = 74,234,968.78
  5. Step 5: Solve for x
    x = 74,234,968.78/9,760.32
  6. Step 6: Final answer
    x = 7,605.79

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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.