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Finding the Fourth Proportional to 7,176.25, 9,902.95 and 3,989.74

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Solution

The fourth proportional to 7,176.25, 9,902.95 and 3,989.74 is: 5,505.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.25 : 9,902.95 = 3,989.74 : x
  2. Step 2: Convert to fraction form
    7,176.25/9,902.95 = 3,989.74/x
  3. Step 3: Cross multiply
    7,176.25x = 9,902.95 × 3,989.74
  4. Step 4: Simplify right side
    7,176.25x = 39,510,195.73
  5. Step 5: Solve for x
    x = 39,510,195.73/7,176.25
  6. Step 6: Final answer
    x = 5,505.69

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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.