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Finding the Fourth Proportional to 9,367.63, 12,932.63 and 6,500.50

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Solution

The fourth proportional to 9,367.63, 12,932.63 and 6,500.50 is: 8,974.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367.63 : 12,932.63 = 6,500.50 : x
  2. Step 2: Convert to fraction form
    9,367.63/12,932.63 = 6,500.50/x
  3. Step 3: Cross multiply
    9,367.63x = 12,932.63 × 6,500.50
  4. Step 4: Simplify right side
    9,367.63x = 84,068,561.32
  5. Step 5: Solve for x
    x = 84,068,561.32/9,367.63
  6. Step 6: Final answer
    x = 8,974.37

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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.