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Finding the Fourth Proportional to 6,877.96, 9,491.58 and 3,734.14

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Solution

The fourth proportional to 6,877.96, 9,491.58 and 3,734.14 is: 5,153.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.96 : 9,491.58 = 3,734.14 : x
  2. Step 2: Convert to fraction form
    6,877.96/9,491.58 = 3,734.14/x
  3. Step 3: Cross multiply
    6,877.96x = 9,491.58 × 3,734.14
  4. Step 4: Simplify right side
    6,877.96x = 35,442,888.54
  5. Step 5: Solve for x
    x = 35,442,888.54/6,877.96
  6. Step 6: Final answer
    x = 5,153.11

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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.