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Finding the Fourth Proportional to 6,120.42, 9,166.04 and 3,342.94

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Solution

The fourth proportional to 6,120.42, 9,166.04 and 3,342.94 is: 5,006.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120.42 : 9,166.04 = 3,342.94 : x
  2. Step 2: Convert to fraction form
    6,120.42/9,166.04 = 3,342.94/x
  3. Step 3: Cross multiply
    6,120.42x = 9,166.04 × 3,342.94
  4. Step 4: Simplify right side
    6,120.42x = 30,641,521.76
  5. Step 5: Solve for x
    x = 30,641,521.76/6,120.42
  6. Step 6: Final answer
    x = 5,006.44

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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.