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Finding the Fourth Proportional to 6,774.63, 9,352.19 and 5,096.68

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Solution

The fourth proportional to 6,774.63, 9,352.19 and 5,096.68 is: 7,035.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.63 : 9,352.19 = 5,096.68 : x
  2. Step 2: Convert to fraction form
    6,774.63/9,352.19 = 5,096.68/x
  3. Step 3: Cross multiply
    6,774.63x = 9,352.19 × 5,096.68
  4. Step 4: Simplify right side
    6,774.63x = 47,665,119.73
  5. Step 5: Solve for x
    x = 47,665,119.73/6,774.63
  6. Step 6: Final answer
    x = 7,035.83

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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.