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Finding the Fourth Proportional to 9,224.33, 13,845.92 and 6,751.81

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Solution

The fourth proportional to 9,224.33, 13,845.92 and 6,751.81 is: 10,134.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.33 : 13,845.92 = 6,751.81 : x
  2. Step 2: Convert to fraction form
    9,224.33/13,845.92 = 6,751.81/x
  3. Step 3: Cross multiply
    9,224.33x = 13,845.92 × 6,751.81
  4. Step 4: Simplify right side
    9,224.33x = 93,484,952.74
  5. Step 5: Solve for x
    x = 93,484,952.74/9,224.33
  6. Step 6: Final answer
    x = 10,134.60

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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.