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Finding the Fourth Proportional to 6,831.56, 9,428.24 and 3,998.77

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Solution

The fourth proportional to 6,831.56, 9,428.24 and 3,998.77 is: 5,518.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.56 : 9,428.24 = 3,998.77 : x
  2. Step 2: Convert to fraction form
    6,831.56/9,428.24 = 3,998.77/x
  3. Step 3: Cross multiply
    6,831.56x = 9,428.24 × 3,998.77
  4. Step 4: Simplify right side
    6,831.56x = 37,701,349.69
  5. Step 5: Solve for x
    x = 37,701,349.69/6,831.56
  6. Step 6: Final answer
    x = 5,518.70

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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.