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Finding the Fourth Proportional to 6,436.56, 9,651.29 and 3,478.55

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Solution

The fourth proportional to 6,436.56, 9,651.29 and 3,478.55 is: 5,215.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.56 : 9,651.29 = 3,478.55 : x
  2. Step 2: Convert to fraction form
    6,436.56/9,651.29 = 3,478.55/x
  3. Step 3: Cross multiply
    6,436.56x = 9,651.29 × 3,478.55
  4. Step 4: Simplify right side
    6,436.56x = 33,572,429.18
  5. Step 5: Solve for x
    x = 33,572,429.18/6,436.56
  6. Step 6: Final answer
    x = 5,215.89

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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.