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Finding the Fourth Proportional to 8,996.23, 12,418.22 and 7,077.08

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Solution

The fourth proportional to 8,996.23, 12,418.22 and 7,077.08 is: 9,769.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996.23 : 12,418.22 = 7,077.08 : x
  2. Step 2: Convert to fraction form
    8,996.23/12,418.22 = 7,077.08/x
  3. Step 3: Cross multiply
    8,996.23x = 12,418.22 × 7,077.08
  4. Step 4: Simplify right side
    8,996.23x = 87,884,785.14
  5. Step 5: Solve for x
    x = 87,884,785.14/8,996.23
  6. Step 6: Final answer
    x = 9,769.07

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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.