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Finding the Fourth Proportional to 6,141.76, 9,214.92 and 3,678.30

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Solution

The fourth proportional to 6,141.76, 9,214.92 and 3,678.30 is: 5,518.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.76 : 9,214.92 = 3,678.30 : x
  2. Step 2: Convert to fraction form
    6,141.76/9,214.92 = 3,678.30/x
  3. Step 3: Cross multiply
    6,141.76x = 9,214.92 × 3,678.30
  4. Step 4: Simplify right side
    6,141.76x = 33,895,240.24
  5. Step 5: Solve for x
    x = 33,895,240.24/6,141.76
  6. Step 6: Final answer
    x = 5,518.82

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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.