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Finding the Fourth Proportional to 12,293.94, 16,967.09 and 6,989.56

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Solution

The fourth proportional to 12,293.94, 16,967.09 and 6,989.56 is: 9,646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,293.94 : 16,967.09 = 6,989.56 : x
  2. Step 2: Convert to fraction form
    12,293.94/16,967.09 = 6,989.56/x
  3. Step 3: Cross multiply
    12,293.94x = 16,967.09 × 6,989.56
  4. Step 4: Simplify right side
    12,293.94x = 118,592,493.58
  5. Step 5: Solve for x
    x = 118,592,493.58/12,293.94
  6. Step 6: Final answer
    x = 9,646.42

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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.