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Finding the Fourth Proportional to 7,175.43, 9,902.00 and 4,191.71

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Solution

The fourth proportional to 7,175.43, 9,902.00 and 4,191.71 is: 5,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.43 : 9,902.00 = 4,191.71 : x
  2. Step 2: Convert to fraction form
    7,175.43/9,902.00 = 4,191.71/x
  3. Step 3: Cross multiply
    7,175.43x = 9,902.00 × 4,191.71
  4. Step 4: Simplify right side
    7,175.43x = 41,506,241.95
  5. Step 5: Solve for x
    x = 41,506,241.95/7,175.43
  6. Step 6: Final answer
    x = 5,784.50

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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.