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Finding the Fourth Proportional to 9,230.64, 13,850 and 4,847.06

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Solution

The fourth proportional to 9,230.64, 13,850 and 4,847.06 is: 7,272.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.64 : 13,850 = 4,847.06 : x
  2. Step 2: Convert to fraction form
    9,230.64/13,850 = 4,847.06/x
  3. Step 3: Cross multiply
    9,230.64x = 13,850 × 4,847.06
  4. Step 4: Simplify right side
    9,230.64x = 67,131,781
  5. Step 5: Solve for x
    x = 67,131,781/9,230.64
  6. Step 6: Final answer
    x = 7,272.71

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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.