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Finding the Fourth Proportional to 6,077.41, 9,133.22 and 3,612.67

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Solution

The fourth proportional to 6,077.41, 9,133.22 and 3,612.67 is: 5,429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.41 : 9,133.22 = 3,612.67 : x
  2. Step 2: Convert to fraction form
    6,077.41/9,133.22 = 3,612.67/x
  3. Step 3: Cross multiply
    6,077.41x = 9,133.22 × 3,612.67
  4. Step 4: Simplify right side
    6,077.41x = 32,995,309.90
  5. Step 5: Solve for x
    x = 32,995,309.90/6,077.41
  6. Step 6: Final answer
    x = 5,429.17

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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.