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Finding the Fourth Proportional to 6,399.81, 8,831.93 and 3,746.97

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Solution

The fourth proportional to 6,399.81, 8,831.93 and 3,746.97 is: 5,170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.81 : 8,831.93 = 3,746.97 : x
  2. Step 2: Convert to fraction form
    6,399.81/8,831.93 = 3,746.97/x
  3. Step 3: Cross multiply
    6,399.81x = 8,831.93 × 3,746.97
  4. Step 4: Simplify right side
    6,399.81x = 33,092,958.02
  5. Step 5: Solve for x
    x = 33,092,958.02/6,399.81
  6. Step 6: Final answer
    x = 5,170.93

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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.