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Finding the Fourth Proportional to 6,362.88, 9,538.56 and 2,257.92

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Solution

The fourth proportional to 6,362.88, 9,538.56 and 2,257.92 is: 3,384.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362.88 : 9,538.56 = 2,257.92 : x
  2. Step 2: Convert to fraction form
    6,362.88/9,538.56 = 2,257.92/x
  3. Step 3: Cross multiply
    6,362.88x = 9,538.56 × 2,257.92
  4. Step 4: Simplify right side
    6,362.88x = 21,537,305.40
  5. Step 5: Solve for x
    x = 21,537,305.40/6,362.88
  6. Step 6: Final answer
    x = 3,384.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.