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Finding the Fourth Proportional to 6,469.34, 9,689.56 and 5,625.59

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Solution

The fourth proportional to 6,469.34, 9,689.56 and 5,625.59 is: 8,425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.34 : 9,689.56 = 5,625.59 : x
  2. Step 2: Convert to fraction form
    6,469.34/9,689.56 = 5,625.59/x
  3. Step 3: Cross multiply
    6,469.34x = 9,689.56 × 5,625.59
  4. Step 4: Simplify right side
    6,469.34x = 54,509,429.33
  5. Step 5: Solve for x
    x = 54,509,429.33/6,469.34
  6. Step 6: Final answer
    x = 8,425.82

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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.