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Finding the Fourth Proportional to 9,676.80, 13,353.66 and 5,484.78

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Solution

The fourth proportional to 9,676.80, 13,353.66 and 5,484.78 is: 7,568.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.80 : 13,353.66 = 5,484.78 : x
  2. Step 2: Convert to fraction form
    9,676.80/13,353.66 = 5,484.78/x
  3. Step 3: Cross multiply
    9,676.80x = 13,353.66 × 5,484.78
  4. Step 4: Simplify right side
    9,676.80x = 73,241,887.29
  5. Step 5: Solve for x
    x = 73,241,887.29/9,676.80
  6. Step 6: Final answer
    x = 7,568.81

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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.