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Finding the Fourth Proportional to 7,831.56, 10,803.92 and 6,936.22

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Solution

The fourth proportional to 7,831.56, 10,803.92 and 6,936.22 is: 9,568.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.56 : 10,803.92 = 6,936.22 : x
  2. Step 2: Convert to fraction form
    7,831.56/10,803.92 = 6,936.22/x
  3. Step 3: Cross multiply
    7,831.56x = 10,803.92 × 6,936.22
  4. Step 4: Simplify right side
    7,831.56x = 74,938,365.98
  5. Step 5: Solve for x
    x = 74,938,365.98/7,831.56
  6. Step 6: Final answer
    x = 9,568.77

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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.