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Finding the Fourth Proportional to 9,293.03, 13,943.64 and 3,757.19

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Solution

The fourth proportional to 9,293.03, 13,943.64 and 3,757.19 is: 5,637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.03 : 13,943.64 = 3,757.19 : x
  2. Step 2: Convert to fraction form
    9,293.03/13,943.64 = 3,757.19/x
  3. Step 3: Cross multiply
    9,293.03x = 13,943.64 × 3,757.19
  4. Step 4: Simplify right side
    9,293.03x = 52,388,849.14
  5. Step 5: Solve for x
    x = 52,388,849.14/9,293.03
  6. Step 6: Final answer
    x = 5,637.44

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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.