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Finding the Fourth Proportional to 9,000.50, 13,499.78 and 2,427.35

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Solution

The fourth proportional to 9,000.50, 13,499.78 and 2,427.35 is: 3,640.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000.50 : 13,499.78 = 2,427.35 : x
  2. Step 2: Convert to fraction form
    9,000.50/13,499.78 = 2,427.35/x
  3. Step 3: Cross multiply
    9,000.50x = 13,499.78 × 2,427.35
  4. Step 4: Simplify right side
    9,000.50x = 32,768,611.35
  5. Step 5: Solve for x
    x = 32,768,611.35/9,000.50
  6. Step 6: Final answer
    x = 3,640.76

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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.