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Finding the Fourth Proportional to 9,333.65, 13,996.82 and 4,135.88

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Solution

The fourth proportional to 9,333.65, 13,996.82 and 4,135.88 is: 6,202.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,333.65 : 13,996.82 = 4,135.88 : x
  2. Step 2: Convert to fraction form
    9,333.65/13,996.82 = 4,135.88/x
  3. Step 3: Cross multiply
    9,333.65x = 13,996.82 × 4,135.88
  4. Step 4: Simplify right side
    9,333.65x = 57,889,077.24
  5. Step 5: Solve for x
    x = 57,889,077.24/9,333.65
  6. Step 6: Final answer
    x = 6,202.19

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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.