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Finding the Fourth Proportional to 6,106.35, 9,162.18 and 2,411.28

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Solution

The fourth proportional to 6,106.35, 9,162.18 and 2,411.28 is: 3,617.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.35 : 9,162.18 = 2,411.28 : x
  2. Step 2: Convert to fraction form
    6,106.35/9,162.18 = 2,411.28/x
  3. Step 3: Cross multiply
    6,106.35x = 9,162.18 × 2,411.28
  4. Step 4: Simplify right side
    6,106.35x = 22,092,581.39
  5. Step 5: Solve for x
    x = 22,092,581.39/6,106.35
  6. Step 6: Final answer
    x = 3,617.97

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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.