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Finding the Fourth Proportional to 6,486.80, 9,729.84 and 3,026.48

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Solution

The fourth proportional to 6,486.80, 9,729.84 and 3,026.48 is: 4,539.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.80 : 9,729.84 = 3,026.48 : x
  2. Step 2: Convert to fraction form
    6,486.80/9,729.84 = 3,026.48/x
  3. Step 3: Cross multiply
    6,486.80x = 9,729.84 × 3,026.48
  4. Step 4: Simplify right side
    6,486.80x = 29,447,166.16
  5. Step 5: Solve for x
    x = 29,447,166.16/6,486.80
  6. Step 6: Final answer
    x = 4,539.55

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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.