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Finding the Fourth Proportional to 7,176.16, 9,902.53 and 3,989.21

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Solution

The fourth proportional to 7,176.16, 9,902.53 and 3,989.21 is: 5,504.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.16 : 9,902.53 = 3,989.21 : x
  2. Step 2: Convert to fraction form
    7,176.16/9,902.53 = 3,989.21/x
  3. Step 3: Cross multiply
    7,176.16x = 9,902.53 × 3,989.21
  4. Step 4: Simplify right side
    7,176.16x = 39,503,227.18
  5. Step 5: Solve for x
    x = 39,503,227.18/7,176.16
  6. Step 6: Final answer
    x = 5,504.79

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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.