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Finding the Fourth Proportional to 6,943.59, 9,586.62 and 6,196.26

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Solution

The fourth proportional to 6,943.59, 9,586.62 and 6,196.26 is: 8,554.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.59 : 9,586.62 = 6,196.26 : x
  2. Step 2: Convert to fraction form
    6,943.59/9,586.62 = 6,196.26/x
  3. Step 3: Cross multiply
    6,943.59x = 9,586.62 × 6,196.26
  4. Step 4: Simplify right side
    6,943.59x = 59,401,231.25
  5. Step 5: Solve for x
    x = 59,401,231.25/6,943.59
  6. Step 6: Final answer
    x = 8,554.83

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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.