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Finding the Fourth Proportional to 12,294.37, 16,965.57 and 6,989.05

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Solution

The fourth proportional to 12,294.37, 16,965.57 and 6,989.05 is: 9,644.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.37 : 16,965.57 = 6,989.05 : x
  2. Step 2: Convert to fraction form
    12,294.37/16,965.57 = 6,989.05/x
  3. Step 3: Cross multiply
    12,294.37x = 16,965.57 × 6,989.05
  4. Step 4: Simplify right side
    12,294.37x = 118,573,217.01
  5. Step 5: Solve for x
    x = 118,573,217.01/12,294.37
  6. Step 6: Final answer
    x = 9,644.51

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