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Finding the Fourth Proportional to 9,785.90, 14,679.64 and 2,765.97

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Solution

The fourth proportional to 9,785.90, 14,679.64 and 2,765.97 is: 4,149.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.90 : 14,679.64 = 2,765.97 : x
  2. Step 2: Convert to fraction form
    9,785.90/14,679.64 = 2,765.97/x
  3. Step 3: Cross multiply
    9,785.90x = 14,679.64 × 2,765.97
  4. Step 4: Simplify right side
    9,785.90x = 40,603,436.94
  5. Step 5: Solve for x
    x = 40,603,436.94/9,785.90
  6. Step 6: Final answer
    x = 4,149.18

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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.