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Finding the Fourth Proportional to 9,676.25, 13,353.32 and 5,427.46

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Solution

The fourth proportional to 9,676.25, 13,353.32 and 5,427.46 is: 7,489.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.25 : 13,353.32 = 5,427.46 : x
  2. Step 2: Convert to fraction form
    9,676.25/13,353.32 = 5,427.46/x
  3. Step 3: Cross multiply
    9,676.25x = 13,353.32 × 5,427.46
  4. Step 4: Simplify right side
    9,676.25x = 72,474,610.17
  5. Step 5: Solve for x
    x = 72,474,610.17/9,676.25
  6. Step 6: Final answer
    x = 7,489.95

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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.