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Finding the Fourth Proportional to 6,861.25, 9,468.69 and 4,207.12

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Solution

The fourth proportional to 6,861.25, 9,468.69 and 4,207.12 is: 5,805.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.25 : 9,468.69 = 4,207.12 : x
  2. Step 2: Convert to fraction form
    6,861.25/9,468.69 = 4,207.12/x
  3. Step 3: Cross multiply
    6,861.25x = 9,468.69 × 4,207.12
  4. Step 4: Simplify right side
    6,861.25x = 39,835,915.07
  5. Step 5: Solve for x
    x = 39,835,915.07/6,861.25
  6. Step 6: Final answer
    x = 5,805.93

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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.