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Finding the Fourth Proportional to 9,659.92, 13,332 and 5,468.08

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Solution

The fourth proportional to 9,659.92, 13,332 and 5,468.08 is: 7,546.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.92 : 13,332 = 5,468.08 : x
  2. Step 2: Convert to fraction form
    9,659.92/13,332 = 5,468.08/x
  3. Step 3: Cross multiply
    9,659.92x = 13,332 × 5,468.08
  4. Step 4: Simplify right side
    9,659.92x = 72,900,442.56
  5. Step 5: Solve for x
    x = 72,900,442.56/9,659.92
  6. Step 6: Final answer
    x = 7,546.69

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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.