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Finding the Fourth Proportional to 9,257.76, 12,775.67 and 5,008.82

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Solution

The fourth proportional to 9,257.76, 12,775.67 and 5,008.82 is: 6,912.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.76 : 12,775.67 = 5,008.82 : x
  2. Step 2: Convert to fraction form
    9,257.76/12,775.67 = 5,008.82/x
  3. Step 3: Cross multiply
    9,257.76x = 12,775.67 × 5,008.82
  4. Step 4: Simplify right side
    9,257.76x = 63,990,974.43
  5. Step 5: Solve for x
    x = 63,990,974.43/9,257.76
  6. Step 6: Final answer
    x = 6,912.14

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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.