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Finding the Fourth Proportional to 9,661.14, 13,334.82 and 5,471.82

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Solution

The fourth proportional to 9,661.14, 13,334.82 and 5,471.82 is: 7,552.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.14 : 13,334.82 = 5,471.82 : x
  2. Step 2: Convert to fraction form
    9,661.14/13,334.82 = 5,471.82/x
  3. Step 3: Cross multiply
    9,661.14x = 13,334.82 × 5,471.82
  4. Step 4: Simplify right side
    9,661.14x = 72,965,734.77
  5. Step 5: Solve for x
    x = 72,965,734.77/9,661.14
  6. Step 6: Final answer
    x = 7,552.50

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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.