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Finding the Fourth Proportional to 9,188.82, 13,783.26 and 2,263.32

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Solution

The fourth proportional to 9,188.82, 13,783.26 and 2,263.32 is: 3,394.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.82 : 13,783.26 = 2,263.32 : x
  2. Step 2: Convert to fraction form
    9,188.82/13,783.26 = 2,263.32/x
  3. Step 3: Cross multiply
    9,188.82x = 13,783.26 × 2,263.32
  4. Step 4: Simplify right side
    9,188.82x = 31,195,928.02
  5. Step 5: Solve for x
    x = 31,195,928.02/9,188.82
  6. Step 6: Final answer
    x = 3,394.99

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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.