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Finding the Fourth Proportional to 6,138.30, 9,207.77 and 1,756.42

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Solution

The fourth proportional to 6,138.30, 9,207.77 and 1,756.42 is: 2,634.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.30 : 9,207.77 = 1,756.42 : x
  2. Step 2: Convert to fraction form
    6,138.30/9,207.77 = 1,756.42/x
  3. Step 3: Cross multiply
    6,138.30x = 9,207.77 × 1,756.42
  4. Step 4: Simplify right side
    6,138.30x = 16,172,711.38
  5. Step 5: Solve for x
    x = 16,172,711.38/6,138.30
  6. Step 6: Final answer
    x = 2,634.72

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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.