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Finding the Fourth Proportional to 6,380.64, 9,567.72 and 2,916

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Solution

The fourth proportional to 6,380.64, 9,567.72 and 2,916 is: 4,372.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.64 : 9,567.72 = 2,916 : x
  2. Step 2: Convert to fraction form
    6,380.64/9,567.72 = 2,916/x
  3. Step 3: Cross multiply
    6,380.64x = 9,567.72 × 2,916
  4. Step 4: Simplify right side
    6,380.64x = 27,899,471.52
  5. Step 5: Solve for x
    x = 27,899,471.52/6,380.64
  6. Step 6: Final answer
    x = 4,372.52

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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.