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Finding the Fourth Proportional to 6,845.66, 9,446.14 and 4,014

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Solution

The fourth proportional to 6,845.66, 9,446.14 and 4,014 is: 5,538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.66 : 9,446.14 = 4,014 : x
  2. Step 2: Convert to fraction form
    6,845.66/9,446.14 = 4,014/x
  3. Step 3: Cross multiply
    6,845.66x = 9,446.14 × 4,014
  4. Step 4: Simplify right side
    6,845.66x = 37,916,805.96
  5. Step 5: Solve for x
    x = 37,916,805.96/6,845.66
  6. Step 6: Final answer
    x = 5,538.81

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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.