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Finding the Fourth Proportional to 9,399, 14,096.19 and 4,135.33

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Solution

The fourth proportional to 9,399, 14,096.19 and 4,135.33 is: 6,201.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399 : 14,096.19 = 4,135.33 : x
  2. Step 2: Convert to fraction form
    9,399/14,096.19 = 4,135.33/x
  3. Step 3: Cross multiply
    9,399x = 14,096.19 × 4,135.33
  4. Step 4: Simplify right side
    9,399x = 58,292,415.01
  5. Step 5: Solve for x
    x = 58,292,415.01/9,399
  6. Step 6: Final answer
    x = 6,201.98

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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.