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Finding the Fourth Proportional to 9,181.71, 12,670.28 and 5,202.87

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Solution

The fourth proportional to 9,181.71, 12,670.28 and 5,202.87 is: 7,179.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.71 : 12,670.28 = 5,202.87 : x
  2. Step 2: Convert to fraction form
    9,181.71/12,670.28 = 5,202.87/x
  3. Step 3: Cross multiply
    9,181.71x = 12,670.28 × 5,202.87
  4. Step 4: Simplify right side
    9,181.71x = 65,921,793.69
  5. Step 5: Solve for x
    x = 65,921,793.69/9,181.71
  6. Step 6: Final answer
    x = 7,179.69

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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.