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Finding the Fourth Proportional to 9,261, 13,891.50 and 4,067.01

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Solution

The fourth proportional to 9,261, 13,891.50 and 4,067.01 is: 6,100.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261 : 13,891.50 = 4,067.01 : x
  2. Step 2: Convert to fraction form
    9,261/13,891.50 = 4,067.01/x
  3. Step 3: Cross multiply
    9,261x = 13,891.50 × 4,067.01
  4. Step 4: Simplify right side
    9,261x = 56,496,869.42
  5. Step 5: Solve for x
    x = 56,496,869.42/9,261
  6. Step 6: Final answer
    x = 6,100.52

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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.