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Finding the Fourth Proportional to 9,467.31, 13,064.90 and 5,490.73

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Solution

The fourth proportional to 9,467.31, 13,064.90 and 5,490.73 is: 7,577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.31 : 13,064.90 = 5,490.73 : x
  2. Step 2: Convert to fraction form
    9,467.31/13,064.90 = 5,490.73/x
  3. Step 3: Cross multiply
    9,467.31x = 13,064.90 × 5,490.73
  4. Step 4: Simplify right side
    9,467.31x = 71,735,838.38
  5. Step 5: Solve for x
    x = 71,735,838.38/9,467.31
  6. Step 6: Final answer
    x = 7,577.21

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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.