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Finding the Fourth Proportional to 6,438.83, 9,640.68 and 4,874.10

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Solution

The fourth proportional to 6,438.83, 9,640.68 and 4,874.10 is: 7,297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.83 : 9,640.68 = 4,874.10 : x
  2. Step 2: Convert to fraction form
    6,438.83/9,640.68 = 4,874.10/x
  3. Step 3: Cross multiply
    6,438.83x = 9,640.68 × 4,874.10
  4. Step 4: Simplify right side
    6,438.83x = 46,989,638.39
  5. Step 5: Solve for x
    x = 46,989,638.39/6,438.83
  6. Step 6: Final answer
    x = 7,297.85

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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.