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Finding the Fourth Proportional to 9,792.12, 13,513.20 and 5,600.28

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Solution

The fourth proportional to 9,792.12, 13,513.20 and 5,600.28 is: 7,728.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.12 : 13,513.20 = 5,600.28 : x
  2. Step 2: Convert to fraction form
    9,792.12/13,513.20 = 5,600.28/x
  3. Step 3: Cross multiply
    9,792.12x = 13,513.20 × 5,600.28
  4. Step 4: Simplify right side
    9,792.12x = 75,677,703.70
  5. Step 5: Solve for x
    x = 75,677,703.70/9,792.12
  6. Step 6: Final answer
    x = 7,728.43

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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.