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Finding the Fourth Proportional to 9,209.70, 13,811.82 and 3,364.94

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Solution

The fourth proportional to 9,209.70, 13,811.82 and 3,364.94 is: 5,046.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.70 : 13,811.82 = 3,364.94 : x
  2. Step 2: Convert to fraction form
    9,209.70/13,811.82 = 3,364.94/x
  3. Step 3: Cross multiply
    9,209.70x = 13,811.82 × 3,364.94
  4. Step 4: Simplify right side
    9,209.70x = 46,475,967.50
  5. Step 5: Solve for x
    x = 46,475,967.50/9,209.70
  6. Step 6: Final answer
    x = 5,046.41

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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.