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Finding the Fourth Proportional to 9,912.60, 13,679.38 and 5,721.66

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Solution

The fourth proportional to 9,912.60, 13,679.38 and 5,721.66 is: 7,895.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.60 : 13,679.38 = 5,721.66 : x
  2. Step 2: Convert to fraction form
    9,912.60/13,679.38 = 5,721.66/x
  3. Step 3: Cross multiply
    9,912.60x = 13,679.38 × 5,721.66
  4. Step 4: Simplify right side
    9,912.60x = 78,268,761.37
  5. Step 5: Solve for x
    x = 78,268,761.37/9,912.60
  6. Step 6: Final answer
    x = 7,895.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.