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Finding the Fourth Proportional to 9,257.82, 13,886.67 and 3,711.09

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Solution

The fourth proportional to 9,257.82, 13,886.67 and 3,711.09 is: 5,566.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.82 : 13,886.67 = 3,711.09 : x
  2. Step 2: Convert to fraction form
    9,257.82/13,886.67 = 3,711.09/x
  3. Step 3: Cross multiply
    9,257.82x = 13,886.67 × 3,711.09
  4. Step 4: Simplify right side
    9,257.82x = 51,534,594.18
  5. Step 5: Solve for x
    x = 51,534,594.18/9,257.82
  6. Step 6: Final answer
    x = 5,566.60

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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.