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Finding the Fourth Proportional to 9,968.76, 13,761.84 and 7,725.56

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Solution

The fourth proportional to 9,968.76, 13,761.84 and 7,725.56 is: 10,665.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.76 : 13,761.84 = 7,725.56 : x
  2. Step 2: Convert to fraction form
    9,968.76/13,761.84 = 7,725.56/x
  3. Step 3: Cross multiply
    9,968.76x = 13,761.84 × 7,725.56
  4. Step 4: Simplify right side
    9,968.76x = 106,317,920.63
  5. Step 5: Solve for x
    x = 106,317,920.63/9,968.76
  6. Step 6: Final answer
    x = 10,665.11

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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.