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Finding the Fourth Proportional to 9,792.80, 13,513.92 and 5,600.24

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Solution

The fourth proportional to 9,792.80, 13,513.92 and 5,600.24 is: 7,728.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.80 : 13,513.92 = 5,600.24 : x
  2. Step 2: Convert to fraction form
    9,792.80/13,513.92 = 5,600.24/x
  3. Step 3: Cross multiply
    9,792.80x = 13,513.92 × 5,600.24
  4. Step 4: Simplify right side
    9,792.80x = 75,681,195.34
  5. Step 5: Solve for x
    x = 75,681,195.34/9,792.80
  6. Step 6: Final answer
    x = 7,728.25

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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.