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Finding the Fourth Proportional to 9,911.44, 13,677.96 and 5,719.84

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Solution

The fourth proportional to 9,911.44, 13,677.96 and 5,719.84 is: 7,893.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.44 : 13,677.96 = 5,719.84 : x
  2. Step 2: Convert to fraction form
    9,911.44/13,677.96 = 5,719.84/x
  3. Step 3: Cross multiply
    9,911.44x = 13,677.96 × 5,719.84
  4. Step 4: Simplify right side
    9,911.44x = 78,235,742.73
  5. Step 5: Solve for x
    x = 78,235,742.73/9,911.44
  6. Step 6: Final answer
    x = 7,893.48

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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.