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Finding the Fourth Proportional to 8,996.36, 12,419.40 and 6,178.64

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Solution

The fourth proportional to 8,996.36, 12,419.40 and 6,178.64 is: 8,529.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996.36 : 12,419.40 = 6,178.64 : x
  2. Step 2: Convert to fraction form
    8,996.36/12,419.40 = 6,178.64/x
  3. Step 3: Cross multiply
    8,996.36x = 12,419.40 × 6,178.64
  4. Step 4: Simplify right side
    8,996.36x = 76,735,001.62
  5. Step 5: Solve for x
    x = 76,735,001.62/8,996.36
  6. Step 6: Final answer
    x = 8,529.56

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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.