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Finding the Fourth Proportional to 8,742.42, 13,114.99 and 3,548.66

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Solution

The fourth proportional to 8,742.42, 13,114.99 and 3,548.66 is: 5,323.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.42 : 13,114.99 = 3,548.66 : x
  2. Step 2: Convert to fraction form
    8,742.42/13,114.99 = 3,548.66/x
  3. Step 3: Cross multiply
    8,742.42x = 13,114.99 × 3,548.66
  4. Step 4: Simplify right side
    8,742.42x = 46,540,640.41
  5. Step 5: Solve for x
    x = 46,540,640.41/8,742.42
  6. Step 6: Final answer
    x = 5,323.54

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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.