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Finding the Fourth Proportional to 9,759.06, 14,604.54 and 7,983.54

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Solution

The fourth proportional to 9,759.06, 14,604.54 and 7,983.54 is: 11,947.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.06 : 14,604.54 = 7,983.54 : x
  2. Step 2: Convert to fraction form
    9,759.06/14,604.54 = 7,983.54/x
  3. Step 3: Cross multiply
    9,759.06x = 14,604.54 × 7,983.54
  4. Step 4: Simplify right side
    9,759.06x = 116,595,929.27
  5. Step 5: Solve for x
    x = 116,595,929.27/9,759.06
  6. Step 6: Final answer
    x = 11,947.45

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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.