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Finding the Fourth Proportional to 6,113.70, 9,166.41 and 2,414.93

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Solution

The fourth proportional to 6,113.70, 9,166.41 and 2,414.93 is: 3,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.70 : 9,166.41 = 2,414.93 : x
  2. Step 2: Convert to fraction form
    6,113.70/9,166.41 = 2,414.93/x
  3. Step 3: Cross multiply
    6,113.70x = 9,166.41 × 2,414.93
  4. Step 4: Simplify right side
    6,113.70x = 22,136,192.67
  5. Step 5: Solve for x
    x = 22,136,192.67/6,113.70
  6. Step 6: Final answer
    x = 3,620.75

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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.