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Finding the Fourth Proportional to 9,281.01, 13,926.42 and 5,067.30

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Solution

The fourth proportional to 9,281.01, 13,926.42 and 5,067.30 is: 7,603.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.01 : 13,926.42 = 5,067.30 : x
  2. Step 2: Convert to fraction form
    9,281.01/13,926.42 = 5,067.30/x
  3. Step 3: Cross multiply
    9,281.01x = 13,926.42 × 5,067.30
  4. Step 4: Simplify right side
    9,281.01x = 70,569,348.07
  5. Step 5: Solve for x
    x = 70,569,348.07/9,281.01
  6. Step 6: Final answer
    x = 7,603.63

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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.