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Finding the Fourth Proportional to 9,033.66, 13,551.30 and 3,188.84

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Solution

The fourth proportional to 9,033.66, 13,551.30 and 3,188.84 is: 4,783.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,033.66 : 13,551.30 = 3,188.84 : x
  2. Step 2: Convert to fraction form
    9,033.66/13,551.30 = 3,188.84/x
  3. Step 3: Cross multiply
    9,033.66x = 13,551.30 × 3,188.84
  4. Step 4: Simplify right side
    9,033.66x = 43,212,859.74
  5. Step 5: Solve for x
    x = 43,212,859.74/9,033.66
  6. Step 6: Final answer
    x = 4,783.54

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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.