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Finding the Fourth Proportional to 9,241.39, 12,753.04 and 5,209.51

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Solution

The fourth proportional to 9,241.39, 12,753.04 and 5,209.51 is: 7,189.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.39 : 12,753.04 = 5,209.51 : x
  2. Step 2: Convert to fraction form
    9,241.39/12,753.04 = 5,209.51/x
  3. Step 3: Cross multiply
    9,241.39x = 12,753.04 × 5,209.51
  4. Step 4: Simplify right side
    9,241.39x = 66,437,081.47
  5. Step 5: Solve for x
    x = 66,437,081.47/9,241.39
  6. Step 6: Final answer
    x = 7,189.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.