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Finding the Fourth Proportional to 6,144.32, 9,217.76 and 2,040

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Solution

The fourth proportional to 6,144.32, 9,217.76 and 2,040 is: 3,060.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.32 : 9,217.76 = 2,040 : x
  2. Step 2: Convert to fraction form
    6,144.32/9,217.76 = 2,040/x
  3. Step 3: Cross multiply
    6,144.32x = 9,217.76 × 2,040
  4. Step 4: Simplify right side
    6,144.32x = 18,804,230.40
  5. Step 5: Solve for x
    x = 18,804,230.40/6,144.32
  6. Step 6: Final answer
    x = 3,060.42

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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.