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Finding the Fourth Proportional to 6,078.92, 9,114.73 and 2,376.74

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Solution

The fourth proportional to 6,078.92, 9,114.73 and 2,376.74 is: 3,563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.92 : 9,114.73 = 2,376.74 : x
  2. Step 2: Convert to fraction form
    6,078.92/9,114.73 = 2,376.74/x
  3. Step 3: Cross multiply
    6,078.92x = 9,114.73 × 2,376.74
  4. Step 4: Simplify right side
    6,078.92x = 21,663,343.38
  5. Step 5: Solve for x
    x = 21,663,343.38/6,078.92
  6. Step 6: Final answer
    x = 3,563.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.