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Finding the Fourth Proportional to 7,110.14, 9,811.92 and 3,923.42

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Solution

The fourth proportional to 7,110.14, 9,811.92 and 3,923.42 is: 5,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.14 : 9,811.92 = 3,923.42 : x
  2. Step 2: Convert to fraction form
    7,110.14/9,811.92 = 3,923.42/x
  3. Step 3: Cross multiply
    7,110.14x = 9,811.92 × 3,923.42
  4. Step 4: Simplify right side
    7,110.14x = 38,496,283.17
  5. Step 5: Solve for x
    x = 38,496,283.17/7,110.14
  6. Step 6: Final answer
    x = 5,414.28

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