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Finding the Fourth Proportional to 9,966.76, 13,759.08 and 7,723.56

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Solution

The fourth proportional to 9,966.76, 13,759.08 and 7,723.56 is: 10,662.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.76 : 13,759.08 = 7,723.56 : x
  2. Step 2: Convert to fraction form
    9,966.76/13,759.08 = 7,723.56/x
  3. Step 3: Cross multiply
    9,966.76x = 13,759.08 × 7,723.56
  4. Step 4: Simplify right side
    9,966.76x = 106,269,079.92
  5. Step 5: Solve for x
    x = 106,269,079.92/9,966.76
  6. Step 6: Final answer
    x = 10,662.35

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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.