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Finding the Fourth Proportional to 9,331, 13,997.94 and 3,488.44

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Solution

The fourth proportional to 9,331, 13,997.94 and 3,488.44 is: 5,233.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331 : 13,997.94 = 3,488.44 : x
  2. Step 2: Convert to fraction form
    9,331/13,997.94 = 3,488.44/x
  3. Step 3: Cross multiply
    9,331x = 13,997.94 × 3,488.44
  4. Step 4: Simplify right side
    9,331x = 48,830,973.81
  5. Step 5: Solve for x
    x = 48,830,973.81/9,331
  6. Step 6: Final answer
    x = 5,233.20

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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.