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Finding the Fourth Proportional to 6,577.74, 9,869.22 and 3,950.19

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Solution

The fourth proportional to 6,577.74, 9,869.22 and 3,950.19 is: 5,926.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.74 : 9,869.22 = 3,950.19 : x
  2. Step 2: Convert to fraction form
    6,577.74/9,869.22 = 3,950.19/x
  3. Step 3: Cross multiply
    6,577.74x = 9,869.22 × 3,950.19
  4. Step 4: Simplify right side
    6,577.74x = 38,985,294.15
  5. Step 5: Solve for x
    x = 38,985,294.15/6,577.74
  6. Step 6: Final answer
    x = 5,926.85

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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.