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Finding the Fourth Proportional to 9,907.96, 14,865.24 and 3,244.76

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Solution

The fourth proportional to 9,907.96, 14,865.24 and 3,244.76 is: 4,868.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.96 : 14,865.24 = 3,244.76 : x
  2. Step 2: Convert to fraction form
    9,907.96/14,865.24 = 3,244.76/x
  3. Step 3: Cross multiply
    9,907.96x = 14,865.24 × 3,244.76
  4. Step 4: Simplify right side
    9,907.96x = 48,234,136.14
  5. Step 5: Solve for x
    x = 48,234,136.14/9,907.96
  6. Step 6: Final answer
    x = 4,868.22

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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.