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Finding the Fourth Proportional to 6,399.32, 8,831.12 and 3,746.82

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Solution

The fourth proportional to 6,399.32, 8,831.12 and 3,746.82 is: 5,170.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.32 : 8,831.12 = 3,746.82 : x
  2. Step 2: Convert to fraction form
    6,399.32/8,831.12 = 3,746.82/x
  3. Step 3: Cross multiply
    6,399.32x = 8,831.12 × 3,746.82
  4. Step 4: Simplify right side
    6,399.32x = 33,088,617.04
  5. Step 5: Solve for x
    x = 33,088,617.04/6,399.32
  6. Step 6: Final answer
    x = 5,170.65

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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.