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Finding the Fourth Proportional to 10,436.94, 15,728.79 and 9,398.12

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Solution

The fourth proportional to 10,436.94, 15,728.79 and 9,398.12 is: 14,163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436.94 : 15,728.79 = 9,398.12 : x
  2. Step 2: Convert to fraction form
    10,436.94/15,728.79 = 9,398.12/x
  3. Step 3: Cross multiply
    10,436.94x = 15,728.79 × 9,398.12
  4. Step 4: Simplify right side
    10,436.94x = 147,821,055.87
  5. Step 5: Solve for x
    x = 147,821,055.87/10,436.94
  6. Step 6: Final answer
    x = 14,163.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.