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Finding the Fourth Proportional to 6,408.81, 9,613.20 and 2,029.34

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Solution

The fourth proportional to 6,408.81, 9,613.20 and 2,029.34 is: 3,044.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.81 : 9,613.20 = 2,029.34 : x
  2. Step 2: Convert to fraction form
    6,408.81/9,613.20 = 2,029.34/x
  3. Step 3: Cross multiply
    6,408.81x = 9,613.20 × 2,029.34
  4. Step 4: Simplify right side
    6,408.81x = 19,508,403.22
  5. Step 5: Solve for x
    x = 19,508,403.22/6,408.81
  6. Step 6: Final answer
    x = 3,044.00

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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.