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Finding the Fourth Proportional to 6,381.64, 9,569.22 and 2,917

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Solution

The fourth proportional to 6,381.64, 9,569.22 and 2,917 is: 4,374.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.64 : 9,569.22 = 2,917 : x
  2. Step 2: Convert to fraction form
    6,381.64/9,569.22 = 2,917/x
  3. Step 3: Cross multiply
    6,381.64x = 9,569.22 × 2,917
  4. Step 4: Simplify right side
    6,381.64x = 27,913,414.74
  5. Step 5: Solve for x
    x = 27,913,414.74/6,381.64
  6. Step 6: Final answer
    x = 4,374.02

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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.