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Finding the Fourth Proportional to 8,964.66, 12,366.63 and 5,236.50

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Solution

The fourth proportional to 8,964.66, 12,366.63 and 5,236.50 is: 7,223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.66 : 12,366.63 = 5,236.50 : x
  2. Step 2: Convert to fraction form
    8,964.66/12,366.63 = 5,236.50/x
  3. Step 3: Cross multiply
    8,964.66x = 12,366.63 × 5,236.50
  4. Step 4: Simplify right side
    8,964.66x = 64,757,858.00
  5. Step 5: Solve for x
    x = 64,757,858.00/8,964.66
  6. Step 6: Final answer
    x = 7,223.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.