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Finding the Fourth Proportional to 9,795.36, 13,508.24 and 6,441

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Solution

The fourth proportional to 9,795.36, 13,508.24 and 6,441 is: 8,882.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.36 : 13,508.24 = 6,441 : x
  2. Step 2: Convert to fraction form
    9,795.36/13,508.24 = 6,441/x
  3. Step 3: Cross multiply
    9,795.36x = 13,508.24 × 6,441
  4. Step 4: Simplify right side
    9,795.36x = 87,006,573.84
  5. Step 5: Solve for x
    x = 87,006,573.84/9,795.36
  6. Step 6: Final answer
    x = 8,882.43

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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.