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Finding the Fourth Proportional to 6,878.85, 9,493.29 and 5,197.29

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Solution

The fourth proportional to 6,878.85, 9,493.29 and 5,197.29 is: 7,172.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.85 : 9,493.29 = 5,197.29 : x
  2. Step 2: Convert to fraction form
    6,878.85/9,493.29 = 5,197.29/x
  3. Step 3: Cross multiply
    6,878.85x = 9,493.29 × 5,197.29
  4. Step 4: Simplify right side
    6,878.85x = 49,339,381.18
  5. Step 5: Solve for x
    x = 49,339,381.18/6,878.85
  6. Step 6: Final answer
    x = 7,172.62

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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.