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Finding the Fourth Proportional to 7,066.18, 9,751.44 and 3,922.38

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Solution

The fourth proportional to 7,066.18, 9,751.44 and 3,922.38 is: 5,412.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.18 : 9,751.44 = 3,922.38 : x
  2. Step 2: Convert to fraction form
    7,066.18/9,751.44 = 3,922.38/x
  3. Step 3: Cross multiply
    7,066.18x = 9,751.44 × 3,922.38
  4. Step 4: Simplify right side
    7,066.18x = 38,248,853.23
  5. Step 5: Solve for x
    x = 38,248,853.23/7,066.18
  6. Step 6: Final answer
    x = 5,412.95

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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.