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Finding the Fourth Proportional to 7,021.32, 9,689.16 and 3,877.44

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Solution

The fourth proportional to 7,021.32, 9,689.16 and 3,877.44 is: 5,350.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.32 : 9,689.16 = 3,877.44 : x
  2. Step 2: Convert to fraction form
    7,021.32/9,689.16 = 3,877.44/x
  3. Step 3: Cross multiply
    7,021.32x = 9,689.16 × 3,877.44
  4. Step 4: Simplify right side
    7,021.32x = 37,569,136.55
  5. Step 5: Solve for x
    x = 37,569,136.55/7,021.32
  6. Step 6: Final answer
    x = 5,350.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.