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Finding the Fourth Proportional to 7,118.12, 9,822.09 and 3,974.44

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Solution

The fourth proportional to 7,118.12, 9,822.09 and 3,974.44 is: 5,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.12 : 9,822.09 = 3,974.44 : x
  2. Step 2: Convert to fraction form
    7,118.12/9,822.09 = 3,974.44/x
  3. Step 3: Cross multiply
    7,118.12x = 9,822.09 × 3,974.44
  4. Step 4: Simplify right side
    7,118.12x = 39,037,307.38
  5. Step 5: Solve for x
    x = 39,037,307.38/7,118.12
  6. Step 6: Final answer
    x = 5,484.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.