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Finding the Fourth Proportional to 9,189.36, 12,676.80 and 6,001.20

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Solution

The fourth proportional to 9,189.36, 12,676.80 and 6,001.20 is: 8,278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.36 : 12,676.80 = 6,001.20 : x
  2. Step 2: Convert to fraction form
    9,189.36/12,676.80 = 6,001.20/x
  3. Step 3: Cross multiply
    9,189.36x = 12,676.80 × 6,001.20
  4. Step 4: Simplify right side
    9,189.36x = 76,076,012.16
  5. Step 5: Solve for x
    x = 76,076,012.16/9,189.36
  6. Step 6: Final answer
    x = 8,278.71

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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.