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Finding the Fourth Proportional to 9,792.27, 13,513.10 and 5,600.25

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Solution

The fourth proportional to 9,792.27, 13,513.10 and 5,600.25 is: 7,728.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.27 : 13,513.10 = 5,600.25 : x
  2. Step 2: Convert to fraction form
    9,792.27/13,513.10 = 5,600.25/x
  3. Step 3: Cross multiply
    9,792.27x = 13,513.10 × 5,600.25
  4. Step 4: Simplify right side
    9,792.27x = 75,676,710.27
  5. Step 5: Solve for x
    x = 75,676,710.27/9,792.27
  6. Step 6: Final answer
    x = 7,728.21

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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.