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Finding the Fourth Proportional to 9,971.94, 13,763.28 and 5,725.88

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Solution

The fourth proportional to 9,971.94, 13,763.28 and 5,725.88 is: 7,902.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.94 : 13,763.28 = 5,725.88 : x
  2. Step 2: Convert to fraction form
    9,971.94/13,763.28 = 5,725.88/x
  3. Step 3: Cross multiply
    9,971.94x = 13,763.28 × 5,725.88
  4. Step 4: Simplify right side
    9,971.94x = 78,806,889.69
  5. Step 5: Solve for x
    x = 78,806,889.69/9,971.94
  6. Step 6: Final answer
    x = 7,902.86

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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.