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Finding the Fourth Proportional to 9,177.67, 13,767.41 and 3,334.74

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Solution

The fourth proportional to 9,177.67, 13,767.41 and 3,334.74 is: 5,002.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.67 : 13,767.41 = 3,334.74 : x
  2. Step 2: Convert to fraction form
    9,177.67/13,767.41 = 3,334.74/x
  3. Step 3: Cross multiply
    9,177.67x = 13,767.41 × 3,334.74
  4. Step 4: Simplify right side
    9,177.67x = 45,910,732.82
  5. Step 5: Solve for x
    x = 45,910,732.82/9,177.67
  6. Step 6: Final answer
    x = 5,002.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.