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Finding the Fourth Proportional to 6,425.38, 9,631.46 and 3,134.40

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Solution

The fourth proportional to 6,425.38, 9,631.46 and 3,134.40 is: 4,698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.38 : 9,631.46 = 3,134.40 : x
  2. Step 2: Convert to fraction form
    6,425.38/9,631.46 = 3,134.40/x
  3. Step 3: Cross multiply
    6,425.38x = 9,631.46 × 3,134.40
  4. Step 4: Simplify right side
    6,425.38x = 30,188,802.31
  5. Step 5: Solve for x
    x = 30,188,802.31/6,425.38
  6. Step 6: Final answer
    x = 4,698.37

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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.