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Finding the Fourth Proportional to 9,676.98, 13,353.28 and 5,427.04

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Solution

The fourth proportional to 9,676.98, 13,353.28 and 5,427.04 is: 7,488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.98 : 13,353.28 = 5,427.04 : x
  2. Step 2: Convert to fraction form
    9,676.98/13,353.28 = 5,427.04/x
  3. Step 3: Cross multiply
    9,676.98x = 13,353.28 × 5,427.04
  4. Step 4: Simplify right side
    9,676.98x = 72,468,784.69
  5. Step 5: Solve for x
    x = 72,468,784.69/9,676.98
  6. Step 6: Final answer
    x = 7,488.78

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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.