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Finding the Fourth Proportional to 6,397.36, 9,588.12 and 3,107.76

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Solution

The fourth proportional to 6,397.36, 9,588.12 and 3,107.76 is: 4,657.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.36 : 9,588.12 = 3,107.76 : x
  2. Step 2: Convert to fraction form
    6,397.36/9,588.12 = 3,107.76/x
  3. Step 3: Cross multiply
    6,397.36x = 9,588.12 × 3,107.76
  4. Step 4: Simplify right side
    6,397.36x = 29,797,575.81
  5. Step 5: Solve for x
    x = 29,797,575.81/6,397.36
  6. Step 6: Final answer
    x = 4,657.79

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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.