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Finding the Fourth Proportional to 9,952.63, 13,728.91 and 6,220.15

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Solution

The fourth proportional to 9,952.63, 13,728.91 and 6,220.15 is: 8,580.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.63 : 13,728.91 = 6,220.15 : x
  2. Step 2: Convert to fraction form
    9,952.63/13,728.91 = 6,220.15/x
  3. Step 3: Cross multiply
    9,952.63x = 13,728.91 × 6,220.15
  4. Step 4: Simplify right side
    9,952.63x = 85,395,879.54
  5. Step 5: Solve for x
    x = 85,395,879.54/9,952.63
  6. Step 6: Final answer
    x = 8,580.23

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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.