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Finding the Fourth Proportional to 9,676.31, 13,353.84 and 5,428.72

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Solution

The fourth proportional to 9,676.31, 13,353.84 and 5,428.72 is: 7,491.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.31 : 13,353.84 = 5,428.72 : x
  2. Step 2: Convert to fraction form
    9,676.31/13,353.84 = 5,428.72/x
  3. Step 3: Cross multiply
    9,676.31x = 13,353.84 × 5,428.72
  4. Step 4: Simplify right side
    9,676.31x = 72,494,265.07
  5. Step 5: Solve for x
    x = 72,494,265.07/9,676.31
  6. Step 6: Final answer
    x = 7,491.93

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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.