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Finding the Fourth Proportional to 9,188.97, 12,680.87 and 5,462.25

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Solution

The fourth proportional to 9,188.97, 12,680.87 and 5,462.25 is: 7,537.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.97 : 12,680.87 = 5,462.25 : x
  2. Step 2: Convert to fraction form
    9,188.97/12,680.87 = 5,462.25/x
  3. Step 3: Cross multiply
    9,188.97x = 12,680.87 × 5,462.25
  4. Step 4: Simplify right side
    9,188.97x = 69,266,054.85
  5. Step 5: Solve for x
    x = 69,266,054.85/9,188.97
  6. Step 6: Final answer
    x = 7,537.96

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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.