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Finding the Fourth Proportional to 9,792.29, 13,504.19 and 7,550.62

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Solution

The fourth proportional to 9,792.29, 13,504.19 and 7,550.62 is: 10,412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.29 : 13,504.19 = 7,550.62 : x
  2. Step 2: Convert to fraction form
    9,792.29/13,504.19 = 7,550.62/x
  3. Step 3: Cross multiply
    9,792.29x = 13,504.19 × 7,550.62
  4. Step 4: Simplify right side
    9,792.29x = 101,964,935.58
  5. Step 5: Solve for x
    x = 101,964,935.58/9,792.29
  6. Step 6: Final answer
    x = 10,412.77

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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.