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Finding the Fourth Proportional to 9,912.95, 13,679.85 and 5,721.20

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Solution

The fourth proportional to 9,912.95, 13,679.85 and 5,721.20 is: 7,895.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.95 : 13,679.85 = 5,721.20 : x
  2. Step 2: Convert to fraction form
    9,912.95/13,679.85 = 5,721.20/x
  3. Step 3: Cross multiply
    9,912.95x = 13,679.85 × 5,721.20
  4. Step 4: Simplify right side
    9,912.95x = 78,265,157.82
  5. Step 5: Solve for x
    x = 78,265,157.82/9,912.95
  6. Step 6: Final answer
    x = 7,895.24

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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.