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Finding the Fourth Proportional to 6,845.68, 10,214.75 and 6,427.72

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Solution

The fourth proportional to 6,845.68, 10,214.75 and 6,427.72 is: 9,591.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.68 : 10,214.75 = 6,427.72 : x
  2. Step 2: Convert to fraction form
    6,845.68/10,214.75 = 6,427.72/x
  3. Step 3: Cross multiply
    6,845.68x = 10,214.75 × 6,427.72
  4. Step 4: Simplify right side
    6,845.68x = 65,657,552.87
  5. Step 5: Solve for x
    x = 65,657,552.87/6,845.68
  6. Step 6: Final answer
    x = 9,591.09

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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.