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Finding the Fourth Proportional to 8,409.30, 12,613.68 and 3,475.17

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Solution

The fourth proportional to 8,409.30, 12,613.68 and 3,475.17 is: 5,212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.30 : 12,613.68 = 3,475.17 : x
  2. Step 2: Convert to fraction form
    8,409.30/12,613.68 = 3,475.17/x
  3. Step 3: Cross multiply
    8,409.30x = 12,613.68 × 3,475.17
  4. Step 4: Simplify right side
    8,409.30x = 43,834,682.33
  5. Step 5: Solve for x
    x = 43,834,682.33/8,409.30
  6. Step 6: Final answer
    x = 5,212.64

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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.