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Finding the Fourth Proportional to 6,989.52, 9,645.52 and 3,845.60

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Solution

The fourth proportional to 6,989.52, 9,645.52 and 3,845.60 is: 5,306.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.52 : 9,645.52 = 3,845.60 : x
  2. Step 2: Convert to fraction form
    6,989.52/9,645.52 = 3,845.60/x
  3. Step 3: Cross multiply
    6,989.52x = 9,645.52 × 3,845.60
  4. Step 4: Simplify right side
    6,989.52x = 37,092,811.71
  5. Step 5: Solve for x
    x = 37,092,811.71/6,989.52
  6. Step 6: Final answer
    x = 5,306.92

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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.