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Finding the Fourth Proportional to 6,111.42, 9,168.46 and 3,480.17

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Solution

The fourth proportional to 6,111.42, 9,168.46 and 3,480.17 is: 5,221.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.42 : 9,168.46 = 3,480.17 : x
  2. Step 2: Convert to fraction form
    6,111.42/9,168.46 = 3,480.17/x
  3. Step 3: Cross multiply
    6,111.42x = 9,168.46 × 3,480.17
  4. Step 4: Simplify right side
    6,111.42x = 31,907,744.90
  5. Step 5: Solve for x
    x = 31,907,744.90/6,111.42
  6. Step 6: Final answer
    x = 5,221.01

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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.