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Finding the Fourth Proportional to 9,103.96, 13,655.52 and 3,766.48

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Solution

The fourth proportional to 9,103.96, 13,655.52 and 3,766.48 is: 5,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.96 : 13,655.52 = 3,766.48 : x
  2. Step 2: Convert to fraction form
    9,103.96/13,655.52 = 3,766.48/x
  3. Step 3: Cross multiply
    9,103.96x = 13,655.52 × 3,766.48
  4. Step 4: Simplify right side
    9,103.96x = 51,433,242.97
  5. Step 5: Solve for x
    x = 51,433,242.97/9,103.96
  6. Step 6: Final answer
    x = 5,649.55

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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.