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Finding the Fourth Proportional to 9,676.28, 13,353.42 and 5,428.29

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Solution

The fourth proportional to 9,676.28, 13,353.42 and 5,428.29 is: 7,491.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.28 : 13,353.42 = 5,428.29 : x
  2. Step 2: Convert to fraction form
    9,676.28/13,353.42 = 5,428.29/x
  3. Step 3: Cross multiply
    9,676.28x = 13,353.42 × 5,428.29
  4. Step 4: Simplify right side
    9,676.28x = 72,486,216.44
  5. Step 5: Solve for x
    x = 72,486,216.44/9,676.28
  6. Step 6: Final answer
    x = 7,491.12

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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.