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Finding the Fourth Proportional to 9,975.92, 13,755.36 and 6,386.12

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Solution

The fourth proportional to 9,975.92, 13,755.36 and 6,386.12 is: 8,805.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.92 : 13,755.36 = 6,386.12 : x
  2. Step 2: Convert to fraction form
    9,975.92/13,755.36 = 6,386.12/x
  3. Step 3: Cross multiply
    9,975.92x = 13,755.36 × 6,386.12
  4. Step 4: Simplify right side
    9,975.92x = 87,843,379.60
  5. Step 5: Solve for x
    x = 87,843,379.60/9,975.92
  6. Step 6: Final answer
    x = 8,805.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.