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Finding the Fourth Proportional to 6,385.44, 9,576.40 and 4,041.92

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Solution

The fourth proportional to 6,385.44, 9,576.40 and 4,041.92 is: 6,061.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.44 : 9,576.40 = 4,041.92 : x
  2. Step 2: Convert to fraction form
    6,385.44/9,576.40 = 4,041.92/x
  3. Step 3: Cross multiply
    6,385.44x = 9,576.40 × 4,041.92
  4. Step 4: Simplify right side
    6,385.44x = 38,707,042.69
  5. Step 5: Solve for x
    x = 38,707,042.69/6,385.44
  6. Step 6: Final answer
    x = 6,061.77

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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.