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Finding the Fourth Proportional to 9,102.96, 13,657.14 and 5,549.22

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Solution

The fourth proportional to 9,102.96, 13,657.14 and 5,549.22 is: 8,325.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.96 : 13,657.14 = 5,549.22 : x
  2. Step 2: Convert to fraction form
    9,102.96/13,657.14 = 5,549.22/x
  3. Step 3: Cross multiply
    9,102.96x = 13,657.14 × 5,549.22
  4. Step 4: Simplify right side
    9,102.96x = 75,786,474.43
  5. Step 5: Solve for x
    x = 75,786,474.43/9,102.96
  6. Step 6: Final answer
    x = 8,325.48

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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.