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Finding the Fourth Proportional to 7,054.32, 9,734.39 and 3,867.56

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Solution

The fourth proportional to 7,054.32, 9,734.39 and 3,867.56 is: 5,336.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.32 : 9,734.39 = 3,867.56 : x
  2. Step 2: Convert to fraction form
    7,054.32/9,734.39 = 3,867.56/x
  3. Step 3: Cross multiply
    7,054.32x = 9,734.39 × 3,867.56
  4. Step 4: Simplify right side
    7,054.32x = 37,648,269.38
  5. Step 5: Solve for x
    x = 37,648,269.38/7,054.32
  6. Step 6: Final answer
    x = 5,336.91

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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.