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Finding the Fourth Proportional to 6,408.72, 9,613.05 and 2,026.17

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Solution

The fourth proportional to 6,408.72, 9,613.05 and 2,026.17 is: 3,039.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.72 : 9,613.05 = 2,026.17 : x
  2. Step 2: Convert to fraction form
    6,408.72/9,613.05 = 2,026.17/x
  3. Step 3: Cross multiply
    6,408.72x = 9,613.05 × 2,026.17
  4. Step 4: Simplify right side
    6,408.72x = 19,477,673.52
  5. Step 5: Solve for x
    x = 19,477,673.52/6,408.72
  6. Step 6: Final answer
    x = 3,039.25

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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.