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Finding the Fourth Proportional to 9,659.85, 13,329.69 and 5,468.10

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Solution

The fourth proportional to 9,659.85, 13,329.69 and 5,468.10 is: 7,545.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.85 : 13,329.69 = 5,468.10 : x
  2. Step 2: Convert to fraction form
    9,659.85/13,329.69 = 5,468.10/x
  3. Step 3: Cross multiply
    9,659.85x = 13,329.69 × 5,468.10
  4. Step 4: Simplify right side
    9,659.85x = 72,888,077.89
  5. Step 5: Solve for x
    x = 72,888,077.89/9,659.85
  6. Step 6: Final answer
    x = 7,545.47

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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.