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Finding the Fourth Proportional to 6,529.75, 9,013.28 and 4,011.96

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Solution

The fourth proportional to 6,529.75, 9,013.28 and 4,011.96 is: 5,537.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.75 : 9,013.28 = 4,011.96 : x
  2. Step 2: Convert to fraction form
    6,529.75/9,013.28 = 4,011.96/x
  3. Step 3: Cross multiply
    6,529.75x = 9,013.28 × 4,011.96
  4. Step 4: Simplify right side
    6,529.75x = 36,160,932.57
  5. Step 5: Solve for x
    x = 36,160,932.57/6,529.75
  6. Step 6: Final answer
    x = 5,537.88

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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.