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Finding the Fourth Proportional to 6,513.38, 9,774.74 and 4,874.27

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Solution

The fourth proportional to 6,513.38, 9,774.74 and 4,874.27 is: 7,314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.38 : 9,774.74 = 4,874.27 : x
  2. Step 2: Convert to fraction form
    6,513.38/9,774.74 = 4,874.27/x
  3. Step 3: Cross multiply
    6,513.38x = 9,774.74 × 4,874.27
  4. Step 4: Simplify right side
    6,513.38x = 47,644,758.56
  5. Step 5: Solve for x
    x = 47,644,758.56/6,513.38
  6. Step 6: Final answer
    x = 7,314.90

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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.