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Finding the Fourth Proportional to 9,971.82, 13,760.74 and 5,719.96

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Solution

The fourth proportional to 9,971.82, 13,760.74 and 5,719.96 is: 7,893.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.82 : 13,760.74 = 5,719.96 : x
  2. Step 2: Convert to fraction form
    9,971.82/13,760.74 = 5,719.96/x
  3. Step 3: Cross multiply
    9,971.82x = 13,760.74 × 5,719.96
  4. Step 4: Simplify right side
    9,971.82x = 78,710,882.37
  5. Step 5: Solve for x
    x = 78,710,882.37/9,971.82
  6. Step 6: Final answer
    x = 7,893.33

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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.