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Finding the Fourth Proportional to 6,344.01, 9,514.49 and 2,395.67

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Solution

The fourth proportional to 6,344.01, 9,514.49 and 2,395.67 is: 3,592.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.01 : 9,514.49 = 2,395.67 : x
  2. Step 2: Convert to fraction form
    6,344.01/9,514.49 = 2,395.67/x
  3. Step 3: Cross multiply
    6,344.01x = 9,514.49 × 2,395.67
  4. Step 4: Simplify right side
    6,344.01x = 22,793,518.71
  5. Step 5: Solve for x
    x = 22,793,518.71/6,344.01
  6. Step 6: Final answer
    x = 3,592.92

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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.