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Finding the Fourth Proportional to 6,577.36, 9,869.16 and 3,290.80

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Solution

The fourth proportional to 6,577.36, 9,869.16 and 3,290.80 is: 4,937.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.36 : 9,869.16 = 3,290.80 : x
  2. Step 2: Convert to fraction form
    6,577.36/9,869.16 = 3,290.80/x
  3. Step 3: Cross multiply
    6,577.36x = 9,869.16 × 3,290.80
  4. Step 4: Simplify right side
    6,577.36x = 32,477,431.73
  5. Step 5: Solve for x
    x = 32,477,431.73/6,577.36
  6. Step 6: Final answer
    x = 4,937.76

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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.