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Finding the Fourth Proportional to 9,294.77, 13,937.51 and 2,968.81

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Solution

The fourth proportional to 9,294.77, 13,937.51 and 2,968.81 is: 4,451.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.77 : 13,937.51 = 2,968.81 : x
  2. Step 2: Convert to fraction form
    9,294.77/13,937.51 = 2,968.81/x
  3. Step 3: Cross multiply
    9,294.77x = 13,937.51 × 2,968.81
  4. Step 4: Simplify right side
    9,294.77x = 41,377,791.64
  5. Step 5: Solve for x
    x = 41,377,791.64/9,294.77
  6. Step 6: Final answer
    x = 4,451.73

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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.