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Finding the Fourth Proportional to 9,780.88, 14,660.16 and 3,933.76

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Solution

The fourth proportional to 9,780.88, 14,660.16 and 3,933.76 is: 5,896.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.88 : 14,660.16 = 3,933.76 : x
  2. Step 2: Convert to fraction form
    9,780.88/14,660.16 = 3,933.76/x
  3. Step 3: Cross multiply
    9,780.88x = 14,660.16 × 3,933.76
  4. Step 4: Simplify right side
    9,780.88x = 57,669,551.00
  5. Step 5: Solve for x
    x = 57,669,551.00/9,780.88
  6. Step 6: Final answer
    x = 5,896.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.