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Finding the Fourth Proportional to 6,846.68, 9,448.16 and 3,862.46

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Solution

The fourth proportional to 6,846.68, 9,448.16 and 3,862.46 is: 5,330.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.68 : 9,448.16 = 3,862.46 : x
  2. Step 2: Convert to fraction form
    6,846.68/9,448.16 = 3,862.46/x
  3. Step 3: Cross multiply
    6,846.68x = 9,448.16 × 3,862.46
  4. Step 4: Simplify right side
    6,846.68x = 36,493,140.07
  5. Step 5: Solve for x
    x = 36,493,140.07/6,846.68
  6. Step 6: Final answer
    x = 5,330.05

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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.