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Finding the Fourth Proportional to 9,942.52, 13,720.98 and 5,466.46

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Solution

The fourth proportional to 9,942.52, 13,720.98 and 5,466.46 is: 7,543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942.52 : 13,720.98 = 5,466.46 : x
  2. Step 2: Convert to fraction form
    9,942.52/13,720.98 = 5,466.46/x
  3. Step 3: Cross multiply
    9,942.52x = 13,720.98 × 5,466.46
  4. Step 4: Simplify right side
    9,942.52x = 75,005,188.33
  5. Step 5: Solve for x
    x = 75,005,188.33/9,942.52
  6. Step 6: Final answer
    x = 7,543.88

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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.