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Finding the Fourth Proportional to 6,844.59, 10,217.37 and 6,014.22

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Solution

The fourth proportional to 6,844.59, 10,217.37 and 6,014.22 is: 8,977.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.59 : 10,217.37 = 6,014.22 : x
  2. Step 2: Convert to fraction form
    6,844.59/10,217.37 = 6,014.22/x
  3. Step 3: Cross multiply
    6,844.59x = 10,217.37 × 6,014.22
  4. Step 4: Simplify right side
    6,844.59x = 61,449,474.95
  5. Step 5: Solve for x
    x = 61,449,474.95/6,844.59
  6. Step 6: Final answer
    x = 8,977.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.