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Finding the Fourth Proportional to 9,116.44, 12,586.16 and 5,978.09

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Solution

The fourth proportional to 9,116.44, 12,586.16 and 5,978.09 is: 8,253.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.44 : 12,586.16 = 5,978.09 : x
  2. Step 2: Convert to fraction form
    9,116.44/12,586.16 = 5,978.09/x
  3. Step 3: Cross multiply
    9,116.44x = 12,586.16 × 5,978.09
  4. Step 4: Simplify right side
    9,116.44x = 75,241,243.65
  5. Step 5: Solve for x
    x = 75,241,243.65/9,116.44
  6. Step 6: Final answer
    x = 8,253.36

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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.