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Finding the Fourth Proportional to 9,535.84, 13,150.86 and 7,947.76

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Solution

The fourth proportional to 9,535.84, 13,150.86 and 7,947.76 is: 10,960.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.84 : 13,150.86 = 7,947.76 : x
  2. Step 2: Convert to fraction form
    9,535.84/13,150.86 = 7,947.76/x
  3. Step 3: Cross multiply
    9,535.84x = 13,150.86 × 7,947.76
  4. Step 4: Simplify right side
    9,535.84x = 104,519,879.07
  5. Step 5: Solve for x
    x = 104,519,879.07/9,535.84
  6. Step 6: Final answer
    x = 10,960.74

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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.