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Finding the Fourth Proportional to 9,932.60, 14,880.18 and 8,299.64

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Solution

The fourth proportional to 9,932.60, 14,880.18 and 8,299.64 is: 12,433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.60 : 14,880.18 = 8,299.64 : x
  2. Step 2: Convert to fraction form
    9,932.60/14,880.18 = 8,299.64/x
  3. Step 3: Cross multiply
    9,932.60x = 14,880.18 × 8,299.64
  4. Step 4: Simplify right side
    9,932.60x = 123,500,137.14
  5. Step 5: Solve for x
    x = 123,500,137.14/9,932.60
  6. Step 6: Final answer
    x = 12,433.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.