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Finding the Fourth Proportional to 6,860.25, 9,467.31 and 4,206.12

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Solution

The fourth proportional to 6,860.25, 9,467.31 and 4,206.12 is: 5,804.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860.25 : 9,467.31 = 4,206.12 : x
  2. Step 2: Convert to fraction form
    6,860.25/9,467.31 = 4,206.12/x
  3. Step 3: Cross multiply
    6,860.25x = 9,467.31 × 4,206.12
  4. Step 4: Simplify right side
    6,860.25x = 39,820,641.94
  5. Step 5: Solve for x
    x = 39,820,641.94/6,860.25
  6. Step 6: Final answer
    x = 5,804.55

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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.