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Finding the Fourth Proportional to 6,407.39, 9,611.49 and 2,709.14

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Solution

The fourth proportional to 6,407.39, 9,611.49 and 2,709.14 is: 4,063.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.39 : 9,611.49 = 2,709.14 : x
  2. Step 2: Convert to fraction form
    6,407.39/9,611.49 = 2,709.14/x
  3. Step 3: Cross multiply
    6,407.39x = 9,611.49 × 2,709.14
  4. Step 4: Simplify right side
    6,407.39x = 26,038,823.96
  5. Step 5: Solve for x
    x = 26,038,823.96/6,407.39
  6. Step 6: Final answer
    x = 4,063.88

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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.