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Finding the Fourth Proportional to 6,425.74, 9,633.93 and 4,340.57

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Solution

The fourth proportional to 6,425.74, 9,633.93 and 4,340.57 is: 6,507.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.74 : 9,633.93 = 4,340.57 : x
  2. Step 2: Convert to fraction form
    6,425.74/9,633.93 = 4,340.57/x
  3. Step 3: Cross multiply
    6,425.74x = 9,633.93 × 4,340.57
  4. Step 4: Simplify right side
    6,425.74x = 41,816,747.54
  5. Step 5: Solve for x
    x = 41,816,747.54/6,425.74
  6. Step 6: Final answer
    x = 6,507.69

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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.