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Finding the Fourth Proportional to 6,493.80, 9,726.30 and 2,596.20

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Solution

The fourth proportional to 6,493.80, 9,726.30 and 2,596.20 is: 3,888.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.80 : 9,726.30 = 2,596.20 : x
  2. Step 2: Convert to fraction form
    6,493.80/9,726.30 = 2,596.20/x
  3. Step 3: Cross multiply
    6,493.80x = 9,726.30 × 2,596.20
  4. Step 4: Simplify right side
    6,493.80x = 25,251,420.06
  5. Step 5: Solve for x
    x = 25,251,420.06/6,493.80
  6. Step 6: Final answer
    x = 3,888.54

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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.