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Finding the Fourth Proportional to 6,412.93, 9,615.80 and 2,251.78

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Solution

The fourth proportional to 6,412.93, 9,615.80 and 2,251.78 is: 3,376.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.93 : 9,615.80 = 2,251.78 : x
  2. Step 2: Convert to fraction form
    6,412.93/9,615.80 = 2,251.78/x
  3. Step 3: Cross multiply
    6,412.93x = 9,615.80 × 2,251.78
  4. Step 4: Simplify right side
    6,412.93x = 21,652,654.87
  5. Step 5: Solve for x
    x = 21,652,654.87/6,412.93
  6. Step 6: Final answer
    x = 3,376.41

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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.