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Finding the Fourth Proportional to 7,209.60, 9,949.36 and 4,065.84

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Solution

The fourth proportional to 7,209.60, 9,949.36 and 4,065.84 is: 5,610.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.60 : 9,949.36 = 4,065.84 : x
  2. Step 2: Convert to fraction form
    7,209.60/9,949.36 = 4,065.84/x
  3. Step 3: Cross multiply
    7,209.60x = 9,949.36 × 4,065.84
  4. Step 4: Simplify right side
    7,209.60x = 40,452,505.86
  5. Step 5: Solve for x
    x = 40,452,505.86/7,209.60
  6. Step 6: Final answer
    x = 5,610.92

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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.