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Finding the Fourth Proportional to 9,244.40, 13,866.60 and 8,223.80

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Solution

The fourth proportional to 9,244.40, 13,866.60 and 8,223.80 is: 12,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244.40 : 13,866.60 = 8,223.80 : x
  2. Step 2: Convert to fraction form
    9,244.40/13,866.60 = 8,223.80/x
  3. Step 3: Cross multiply
    9,244.40x = 13,866.60 × 8,223.80
  4. Step 4: Simplify right side
    9,244.40x = 114,036,145.08
  5. Step 5: Solve for x
    x = 114,036,145.08/9,244.40
  6. Step 6: Final answer
    x = 12,335.70

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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.