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Finding the Fourth Proportional to 7,175.87, 9,902.70 and 3,989.07

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Solution

The fourth proportional to 7,175.87, 9,902.70 and 3,989.07 is: 5,504.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.87 : 9,902.70 = 3,989.07 : x
  2. Step 2: Convert to fraction form
    7,175.87/9,902.70 = 3,989.07/x
  3. Step 3: Cross multiply
    7,175.87x = 9,902.70 × 3,989.07
  4. Step 4: Simplify right side
    7,175.87x = 39,502,580.12
  5. Step 5: Solve for x
    x = 39,502,580.12/7,175.87
  6. Step 6: Final answer
    x = 5,504.92

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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.