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Finding the Fourth Proportional to 8,973.78, 13,463.37 and 3,427.26

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Solution

The fourth proportional to 8,973.78, 13,463.37 and 3,427.26 is: 5,141.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973.78 : 13,463.37 = 3,427.26 : x
  2. Step 2: Convert to fraction form
    8,973.78/13,463.37 = 3,427.26/x
  3. Step 3: Cross multiply
    8,973.78x = 13,463.37 × 3,427.26
  4. Step 4: Simplify right side
    8,973.78x = 46,142,469.47
  5. Step 5: Solve for x
    x = 46,142,469.47/8,973.78
  6. Step 6: Final answer
    x = 5,141.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.