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Finding the Fourth Proportional to 9,971.96, 13,761.70 and 5,722.95

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Solution

The fourth proportional to 9,971.96, 13,761.70 and 5,722.95 is: 7,897.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.96 : 13,761.70 = 5,722.95 : x
  2. Step 2: Convert to fraction form
    9,971.96/13,761.70 = 5,722.95/x
  3. Step 3: Cross multiply
    9,971.96x = 13,761.70 × 5,722.95
  4. Step 4: Simplify right side
    9,971.96x = 78,757,558.31
  5. Step 5: Solve for x
    x = 78,757,558.31/9,971.96
  6. Step 6: Final answer
    x = 7,897.90

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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.