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Finding the Fourth Proportional to 6,228.80, 9,325.92 and 3,144.32

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Solution

The fourth proportional to 6,228.80, 9,325.92 and 3,144.32 is: 4,707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.80 : 9,325.92 = 3,144.32 : x
  2. Step 2: Convert to fraction form
    6,228.80/9,325.92 = 3,144.32/x
  3. Step 3: Cross multiply
    6,228.80x = 9,325.92 × 3,144.32
  4. Step 4: Simplify right side
    6,228.80x = 29,323,676.77
  5. Step 5: Solve for x
    x = 29,323,676.77/6,228.80
  6. Step 6: Final answer
    x = 4,707.76

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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.