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Finding the Fourth Proportional to 9,529.44, 13,141.84 and 6,540

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Solution

The fourth proportional to 9,529.44, 13,141.84 and 6,540 is: 9,019.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,529.44 : 13,141.84 = 6,540 : x
  2. Step 2: Convert to fraction form
    9,529.44/13,141.84 = 6,540/x
  3. Step 3: Cross multiply
    9,529.44x = 13,141.84 × 6,540
  4. Step 4: Simplify right side
    9,529.44x = 85,947,633.60
  5. Step 5: Solve for x
    x = 85,947,633.60/9,529.44
  6. Step 6: Final answer
    x = 9,019.17

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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.