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Finding the Fourth Proportional to 9,531.44, 13,158.16 and 5,998.22

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Solution

The fourth proportional to 9,531.44, 13,158.16 and 5,998.22 is: 8,280.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531.44 : 13,158.16 = 5,998.22 : x
  2. Step 2: Convert to fraction form
    9,531.44/13,158.16 = 5,998.22/x
  3. Step 3: Cross multiply
    9,531.44x = 13,158.16 × 5,998.22
  4. Step 4: Simplify right side
    9,531.44x = 78,925,538.48
  5. Step 5: Solve for x
    x = 78,925,538.48/9,531.44
  6. Step 6: Final answer
    x = 8,280.55

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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.