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Finding the Fourth Proportional to 6,296.13, 9,438.04 and 2,344.49

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Solution

The fourth proportional to 6,296.13, 9,438.04 and 2,344.49 is: 3,514.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.13 : 9,438.04 = 2,344.49 : x
  2. Step 2: Convert to fraction form
    6,296.13/9,438.04 = 2,344.49/x
  3. Step 3: Cross multiply
    6,296.13x = 9,438.04 × 2,344.49
  4. Step 4: Simplify right side
    6,296.13x = 22,127,368.34
  5. Step 5: Solve for x
    x = 22,127,368.34/6,296.13
  6. Step 6: Final answer
    x = 3,514.44

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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.