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Finding the Fourth Proportional to 7,052.37, 9,732.36 and 3,865.61

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Solution

The fourth proportional to 7,052.37, 9,732.36 and 3,865.61 is: 5,334.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.37 : 9,732.36 = 3,865.61 : x
  2. Step 2: Convert to fraction form
    7,052.37/9,732.36 = 3,865.61/x
  3. Step 3: Cross multiply
    7,052.37x = 9,732.36 × 3,865.61
  4. Step 4: Simplify right side
    7,052.37x = 37,621,508.14
  5. Step 5: Solve for x
    x = 37,621,508.14/7,052.37
  6. Step 6: Final answer
    x = 5,334.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.