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Finding the Fourth Proportional to 6,444.38, 9,665.28 and 3,155.42

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Solution

The fourth proportional to 6,444.38, 9,665.28 and 3,155.42 is: 4,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.38 : 9,665.28 = 3,155.42 : x
  2. Step 2: Convert to fraction form
    6,444.38/9,665.28 = 3,155.42/x
  3. Step 3: Cross multiply
    6,444.38x = 9,665.28 × 3,155.42
  4. Step 4: Simplify right side
    6,444.38x = 30,498,017.82
  5. Step 5: Solve for x
    x = 30,498,017.82/6,444.38
  6. Step 6: Final answer
    x = 4,732.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.