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Finding the Fourth Proportional to 6,296.16, 9,433.98 and 4,443.96

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Solution

The fourth proportional to 6,296.16, 9,433.98 and 4,443.96 is: 6,658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.16 : 9,433.98 = 4,443.96 : x
  2. Step 2: Convert to fraction form
    6,296.16/9,433.98 = 4,443.96/x
  3. Step 3: Cross multiply
    6,296.16x = 9,433.98 × 4,443.96
  4. Step 4: Simplify right side
    6,296.16x = 41,924,229.76
  5. Step 5: Solve for x
    x = 41,924,229.76/6,296.16
  6. Step 6: Final answer
    x = 6,658.70

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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.