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Finding the Fourth Proportional to 6,296.12, 9,446.75 and 4,443.24

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Solution

The fourth proportional to 6,296.12, 9,446.75 and 4,443.24 is: 6,666.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.12 : 9,446.75 = 4,443.24 : x
  2. Step 2: Convert to fraction form
    6,296.12/9,446.75 = 4,443.24/x
  3. Step 3: Cross multiply
    6,296.12x = 9,446.75 × 4,443.24
  4. Step 4: Simplify right side
    6,296.12x = 41,974,155.25
  5. Step 5: Solve for x
    x = 41,974,155.25/6,296.12
  6. Step 6: Final answer
    x = 6,666.68

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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.