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Finding the Fourth Proportional to 7,039.62, 9,714.78 and 3,895.92

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Solution

The fourth proportional to 7,039.62, 9,714.78 and 3,895.92 is: 5,376.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.62 : 9,714.78 = 3,895.92 : x
  2. Step 2: Convert to fraction form
    7,039.62/9,714.78 = 3,895.92/x
  3. Step 3: Cross multiply
    7,039.62x = 9,714.78 × 3,895.92
  4. Step 4: Simplify right side
    7,039.62x = 37,848,005.70
  5. Step 5: Solve for x
    x = 37,848,005.70/7,039.62
  6. Step 6: Final answer
    x = 5,376.43

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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.