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Finding the Fourth Proportional to 9,292.84, 13,935.74 and 3,744.29

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Solution

The fourth proportional to 9,292.84, 13,935.74 and 3,744.29 is: 5,615.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.84 : 13,935.74 = 3,744.29 : x
  2. Step 2: Convert to fraction form
    9,292.84/13,935.74 = 3,744.29/x
  3. Step 3: Cross multiply
    9,292.84x = 13,935.74 × 3,744.29
  4. Step 4: Simplify right side
    9,292.84x = 52,179,468.04
  5. Step 5: Solve for x
    x = 52,179,468.04/9,292.84
  6. Step 6: Final answer
    x = 5,615.02

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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.