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Finding the Fourth Proportional to 9,021.12, 13,505.22 and 6,838.44

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Solution

The fourth proportional to 9,021.12, 13,505.22 and 6,838.44 is: 10,237.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021.12 : 13,505.22 = 6,838.44 : x
  2. Step 2: Convert to fraction form
    9,021.12/13,505.22 = 6,838.44/x
  3. Step 3: Cross multiply
    9,021.12x = 13,505.22 × 6,838.44
  4. Step 4: Simplify right side
    9,021.12x = 92,354,636.66
  5. Step 5: Solve for x
    x = 92,354,636.66/9,021.12
  6. Step 6: Final answer
    x = 10,237.60

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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.