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Finding the Fourth Proportional to 6,863.91, 9,466.56 and 4,209.45

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Solution

The fourth proportional to 6,863.91, 9,466.56 and 4,209.45 is: 5,805.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.91 : 9,466.56 = 4,209.45 : x
  2. Step 2: Convert to fraction form
    6,863.91/9,466.56 = 4,209.45/x
  3. Step 3: Cross multiply
    6,863.91x = 9,466.56 × 4,209.45
  4. Step 4: Simplify right side
    6,863.91x = 39,849,010.99
  5. Step 5: Solve for x
    x = 39,849,010.99/6,863.91
  6. Step 6: Final answer
    x = 5,805.58

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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.