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Finding the Fourth Proportional to 6,846.02, 9,448.48 and 3,862.13

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Solution

The fourth proportional to 6,846.02, 9,448.48 and 3,862.13 is: 5,330.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.02 : 9,448.48 = 3,862.13 : x
  2. Step 2: Convert to fraction form
    6,846.02/9,448.48 = 3,862.13/x
  3. Step 3: Cross multiply
    6,846.02x = 9,448.48 × 3,862.13
  4. Step 4: Simplify right side
    6,846.02x = 36,491,215.65
  5. Step 5: Solve for x
    x = 36,491,215.65/6,846.02
  6. Step 6: Final answer
    x = 5,330.28

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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.