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Finding the Fourth Proportional to 6,447.48, 9,658.86 and 4,363.89

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Solution

The fourth proportional to 6,447.48, 9,658.86 and 4,363.89 is: 6,537.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.48 : 9,658.86 = 4,363.89 : x
  2. Step 2: Convert to fraction form
    6,447.48/9,658.86 = 4,363.89/x
  3. Step 3: Cross multiply
    6,447.48x = 9,658.86 × 4,363.89
  4. Step 4: Simplify right side
    6,447.48x = 42,150,202.57
  5. Step 5: Solve for x
    x = 42,150,202.57/6,447.48
  6. Step 6: Final answer
    x = 6,537.47

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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.