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Finding the Fourth Proportional to 9,116.44, 13,652.62 and 7,544.88

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Solution

The fourth proportional to 9,116.44, 13,652.62 and 7,544.88 is: 11,299.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.44 : 13,652.62 = 7,544.88 : x
  2. Step 2: Convert to fraction form
    9,116.44/13,652.62 = 7,544.88/x
  3. Step 3: Cross multiply
    9,116.44x = 13,652.62 × 7,544.88
  4. Step 4: Simplify right side
    9,116.44x = 103,007,360.72
  5. Step 5: Solve for x
    x = 103,007,360.72/9,116.44
  6. Step 6: Final answer
    x = 11,299.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.