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Finding the Fourth Proportional to 6,860.30, 9,467.38 and 4,206.13

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Solution

The fourth proportional to 6,860.30, 9,467.38 and 4,206.13 is: 5,804.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860.30 : 9,467.38 = 4,206.13 : x
  2. Step 2: Convert to fraction form
    6,860.30/9,467.38 = 4,206.13/x
  3. Step 3: Cross multiply
    6,860.30x = 9,467.38 × 4,206.13
  4. Step 4: Simplify right side
    6,860.30x = 39,821,012.63
  5. Step 5: Solve for x
    x = 39,821,012.63/6,860.30
  6. Step 6: Final answer
    x = 5,804.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.