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Finding the Fourth Proportional to 6,267.65, 9,401.75 and 3,492.22

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Solution

The fourth proportional to 6,267.65, 9,401.75 and 3,492.22 is: 5,238.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.65 : 9,401.75 = 3,492.22 : x
  2. Step 2: Convert to fraction form
    6,267.65/9,401.75 = 3,492.22/x
  3. Step 3: Cross multiply
    6,267.65x = 9,401.75 × 3,492.22
  4. Step 4: Simplify right side
    6,267.65x = 32,832,979.39
  5. Step 5: Solve for x
    x = 32,832,979.39/6,267.65
  6. Step 6: Final answer
    x = 5,238.48

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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.