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Finding the Fourth Proportional to 6,118.65, 9,175.82 and 2,222.01

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Solution

The fourth proportional to 6,118.65, 9,175.82 and 2,222.01 is: 3,332.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,118.65 : 9,175.82 = 2,222.01 : x
  2. Step 2: Convert to fraction form
    6,118.65/9,175.82 = 2,222.01/x
  3. Step 3: Cross multiply
    6,118.65x = 9,175.82 × 2,222.01
  4. Step 4: Simplify right side
    6,118.65x = 20,388,752.69
  5. Step 5: Solve for x
    x = 20,388,752.69/6,118.65
  6. Step 6: Final answer
    x = 3,332.23

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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.