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Finding the Fourth Proportional to 6,860.57, 9,467.75 and 4,209.44

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Solution

The fourth proportional to 6,860.57, 9,467.75 and 4,209.44 is: 5,809.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860.57 : 9,467.75 = 4,209.44 : x
  2. Step 2: Convert to fraction form
    6,860.57/9,467.75 = 4,209.44/x
  3. Step 3: Cross multiply
    6,860.57x = 9,467.75 × 4,209.44
  4. Step 4: Simplify right side
    6,860.57x = 39,853,888.74
  5. Step 5: Solve for x
    x = 39,853,888.74/6,860.57
  6. Step 6: Final answer
    x = 5,809.13

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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.