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Finding the Fourth Proportional to 6,895.50, 9,517.41 and 4,102.62

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Solution

The fourth proportional to 6,895.50, 9,517.41 and 4,102.62 is: 5,662.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.50 : 9,517.41 = 4,102.62 : x
  2. Step 2: Convert to fraction form
    6,895.50/9,517.41 = 4,102.62/x
  3. Step 3: Cross multiply
    6,895.50x = 9,517.41 × 4,102.62
  4. Step 4: Simplify right side
    6,895.50x = 39,046,316.61
  5. Step 5: Solve for x
    x = 39,046,316.61/6,895.50
  6. Step 6: Final answer
    x = 5,662.58

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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.