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Finding the Fourth Proportional to 7,154.96, 9,874.80 and 4,171.72

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Solution

The fourth proportional to 7,154.96, 9,874.80 and 4,171.72 is: 5,757.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.96 : 9,874.80 = 4,171.72 : x
  2. Step 2: Convert to fraction form
    7,154.96/9,874.80 = 4,171.72/x
  3. Step 3: Cross multiply
    7,154.96x = 9,874.80 × 4,171.72
  4. Step 4: Simplify right side
    7,154.96x = 41,194,900.66
  5. Step 5: Solve for x
    x = 41,194,900.66/7,154.96
  6. Step 6: Final answer
    x = 5,757.53

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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.