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Finding the Fourth Proportional to 9,203.09, 13,807.89 and 3,935.88

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Solution

The fourth proportional to 9,203.09, 13,807.89 and 3,935.88 is: 5,905.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.09 : 13,807.89 = 3,935.88 : x
  2. Step 2: Convert to fraction form
    9,203.09/13,807.89 = 3,935.88/x
  3. Step 3: Cross multiply
    9,203.09x = 13,807.89 × 3,935.88
  4. Step 4: Simplify right side
    9,203.09x = 54,346,198.09
  5. Step 5: Solve for x
    x = 54,346,198.09/9,203.09
  6. Step 6: Final answer
    x = 5,905.22

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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.