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Finding the Fourth Proportional to 8,932.11, 12,327.06 and 4,954.50

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Solution

The fourth proportional to 8,932.11, 12,327.06 and 4,954.50 is: 6,837.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,932.11 : 12,327.06 = 4,954.50 : x
  2. Step 2: Convert to fraction form
    8,932.11/12,327.06 = 4,954.50/x
  3. Step 3: Cross multiply
    8,932.11x = 12,327.06 × 4,954.50
  4. Step 4: Simplify right side
    8,932.11x = 61,074,423.41
  5. Step 5: Solve for x
    x = 61,074,423.41/8,932.11
  6. Step 6: Final answer
    x = 6,837.63

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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.