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Finding the Fourth Proportional to 6,296.35, 9,438.37 and 2,344.71

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Solution

The fourth proportional to 6,296.35, 9,438.37 and 2,344.71 is: 3,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.35 : 9,438.37 = 2,344.71 : x
  2. Step 2: Convert to fraction form
    6,296.35/9,438.37 = 2,344.71/x
  3. Step 3: Cross multiply
    6,296.35x = 9,438.37 × 2,344.71
  4. Step 4: Simplify right side
    6,296.35x = 22,130,228.80
  5. Step 5: Solve for x
    x = 22,130,228.80/6,296.35
  6. Step 6: Final answer
    x = 3,514.77

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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.