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Finding the Fourth Proportional to 8,965.61, 13,438.02 and 7,927.64

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Solution

The fourth proportional to 8,965.61, 13,438.02 and 7,927.64 is: 11,882.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.61 : 13,438.02 = 7,927.64 : x
  2. Step 2: Convert to fraction form
    8,965.61/13,438.02 = 7,927.64/x
  3. Step 3: Cross multiply
    8,965.61x = 13,438.02 × 7,927.64
  4. Step 4: Simplify right side
    8,965.61x = 106,531,797.80
  5. Step 5: Solve for x
    x = 106,531,797.80/8,965.61
  6. Step 6: Final answer
    x = 11,882.27

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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.