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Finding the Fourth Proportional to 6,408.15, 9,613.08 and 3,120.81

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Solution

The fourth proportional to 6,408.15, 9,613.08 and 3,120.81 is: 4,681.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.15 : 9,613.08 = 3,120.81 : x
  2. Step 2: Convert to fraction form
    6,408.15/9,613.08 = 3,120.81/x
  3. Step 3: Cross multiply
    6,408.15x = 9,613.08 × 3,120.81
  4. Step 4: Simplify right side
    6,408.15x = 30,000,596.19
  5. Step 5: Solve for x
    x = 30,000,596.19/6,408.15
  6. Step 6: Final answer
    x = 4,681.63

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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.