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Finding the Fourth Proportional to 6,651.47, 9,977.71 and 3,878.42

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Solution

The fourth proportional to 6,651.47, 9,977.71 and 3,878.42 is: 5,817.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.47 : 9,977.71 = 3,878.42 : x
  2. Step 2: Convert to fraction form
    6,651.47/9,977.71 = 3,878.42/x
  3. Step 3: Cross multiply
    6,651.47x = 9,977.71 × 3,878.42
  4. Step 4: Simplify right side
    6,651.47x = 38,697,690.43
  5. Step 5: Solve for x
    x = 38,697,690.43/6,651.47
  6. Step 6: Final answer
    x = 5,817.92

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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.