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Finding the Fourth Proportional to 9,189.02, 12,676.17 and 6,004.18

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Solution

The fourth proportional to 9,189.02, 12,676.17 and 6,004.18 is: 8,282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.02 : 12,676.17 = 6,004.18 : x
  2. Step 2: Convert to fraction form
    9,189.02/12,676.17 = 6,004.18/x
  3. Step 3: Cross multiply
    9,189.02x = 12,676.17 × 6,004.18
  4. Step 4: Simplify right side
    9,189.02x = 76,109,935.50
  5. Step 5: Solve for x
    x = 76,109,935.50/9,189.02
  6. Step 6: Final answer
    x = 8,282.71

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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.