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Finding the Fourth Proportional to 9,348.85, 12,899.11 and 5,713.97

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Solution

The fourth proportional to 9,348.85, 12,899.11 and 5,713.97 is: 7,883.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.85 : 12,899.11 = 5,713.97 : x
  2. Step 2: Convert to fraction form
    9,348.85/12,899.11 = 5,713.97/x
  3. Step 3: Cross multiply
    9,348.85x = 12,899.11 × 5,713.97
  4. Step 4: Simplify right side
    9,348.85x = 73,705,145.53
  5. Step 5: Solve for x
    x = 73,705,145.53/9,348.85
  6. Step 6: Final answer
    x = 7,883.88

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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.