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Finding the Fourth Proportional to 9,006, 13,499.63 and 3,743.88

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Solution

The fourth proportional to 9,006, 13,499.63 and 3,743.88 is: 5,611.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006 : 13,499.63 = 3,743.88 : x
  2. Step 2: Convert to fraction form
    9,006/13,499.63 = 3,743.88/x
  3. Step 3: Cross multiply
    9,006x = 13,499.63 × 3,743.88
  4. Step 4: Simplify right side
    9,006x = 50,540,994.76
  5. Step 5: Solve for x
    x = 50,540,994.76/9,006
  6. Step 6: Final answer
    x = 5,611.92

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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.