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Finding the Fourth Proportional to 7,118.42, 9,823.38 and 3,974.60

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Solution

The fourth proportional to 7,118.42, 9,823.38 and 3,974.60 is: 5,484.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.42 : 9,823.38 = 3,974.60 : x
  2. Step 2: Convert to fraction form
    7,118.42/9,823.38 = 3,974.60/x
  3. Step 3: Cross multiply
    7,118.42x = 9,823.38 × 3,974.60
  4. Step 4: Simplify right side
    7,118.42x = 39,044,015.80
  5. Step 5: Solve for x
    x = 39,044,015.80/7,118.42
  6. Step 6: Final answer
    x = 5,484.93

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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.