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Finding the Fourth Proportional to 7,109.78, 9,811.70 and 3,923.28

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Solution

The fourth proportional to 7,109.78, 9,811.70 and 3,923.28 is: 5,414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.78 : 9,811.70 = 3,923.28 : x
  2. Step 2: Convert to fraction form
    7,109.78/9,811.70 = 3,923.28/x
  3. Step 3: Cross multiply
    7,109.78x = 9,811.70 × 3,923.28
  4. Step 4: Simplify right side
    7,109.78x = 38,494,026.76
  5. Step 5: Solve for x
    x = 38,494,026.76/7,109.78
  6. Step 6: Final answer
    x = 5,414.24

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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.