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Finding the Fourth Proportional to 12,294.05, 16,967.22 and 6,989.66

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Solution

The fourth proportional to 12,294.05, 16,967.22 and 6,989.66 is: 9,646.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.05 : 16,967.22 = 6,989.66 : x
  2. Step 2: Convert to fraction form
    12,294.05/16,967.22 = 6,989.66/x
  3. Step 3: Cross multiply
    12,294.05x = 16,967.22 × 6,989.66
  4. Step 4: Simplify right side
    12,294.05x = 118,595,090.84
  5. Step 5: Solve for x
    x = 118,595,090.84/12,294.05
  6. Step 6: Final answer
    x = 9,646.55

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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.