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Finding the Fourth Proportional to 6,860.54, 9,467.55 and 4,027.36

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Solution

The fourth proportional to 6,860.54, 9,467.55 and 4,027.36 is: 5,557.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860.54 : 9,467.55 = 4,027.36 : x
  2. Step 2: Convert to fraction form
    6,860.54/9,467.55 = 4,027.36/x
  3. Step 3: Cross multiply
    6,860.54x = 9,467.55 × 4,027.36
  4. Step 4: Simplify right side
    6,860.54x = 38,129,232.17
  5. Step 5: Solve for x
    x = 38,129,232.17/6,860.54
  6. Step 6: Final answer
    x = 5,557.76

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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.