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Finding the Fourth Proportional to 6,469.18, 9,701.73 and 4,289.47

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Solution

The fourth proportional to 6,469.18, 9,701.73 and 4,289.47 is: 6,432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.18 : 9,701.73 = 4,289.47 : x
  2. Step 2: Convert to fraction form
    6,469.18/9,701.73 = 4,289.47/x
  3. Step 3: Cross multiply
    6,469.18x = 9,701.73 × 4,289.47
  4. Step 4: Simplify right side
    6,469.18x = 41,615,279.78
  5. Step 5: Solve for x
    x = 41,615,279.78/6,469.18
  6. Step 6: Final answer
    x = 6,432.85

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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.