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Finding the Fourth Proportional to 9,199.40, 13,801.13 and 3,355.98

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Solution

The fourth proportional to 9,199.40, 13,801.13 and 3,355.98 is: 5,034.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.40 : 13,801.13 = 3,355.98 : x
  2. Step 2: Convert to fraction form
    9,199.40/13,801.13 = 3,355.98/x
  3. Step 3: Cross multiply
    9,199.40x = 13,801.13 × 3,355.98
  4. Step 4: Simplify right side
    9,199.40x = 46,316,299.48
  5. Step 5: Solve for x
    x = 46,316,299.48/9,199.40
  6. Step 6: Final answer
    x = 5,034.71

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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.