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Finding the Fourth Proportional to 9,236.56, 13,904.20 and 8,284

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Solution

The fourth proportional to 9,236.56, 13,904.20 and 8,284 is: 12,470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236.56 : 13,904.20 = 8,284 : x
  2. Step 2: Convert to fraction form
    9,236.56/13,904.20 = 8,284/x
  3. Step 3: Cross multiply
    9,236.56x = 13,904.20 × 8,284
  4. Step 4: Simplify right side
    9,236.56x = 115,182,392.80
  5. Step 5: Solve for x
    x = 115,182,392.80/9,236.56
  6. Step 6: Final answer
    x = 12,470.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.