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Finding the Fourth Proportional to 9,257.54, 13,886.00 and 3,709.40

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Solution

The fourth proportional to 9,257.54, 13,886.00 and 3,709.40 is: 5,563.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.54 : 13,886.00 = 3,709.40 : x
  2. Step 2: Convert to fraction form
    9,257.54/13,886.00 = 3,709.40/x
  3. Step 3: Cross multiply
    9,257.54x = 13,886.00 × 3,709.40
  4. Step 4: Simplify right side
    9,257.54x = 51,508,654.33
  5. Step 5: Solve for x
    x = 51,508,654.33/9,257.54
  6. Step 6: Final answer
    x = 5,563.97

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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.