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Finding the Fourth Proportional to 6,214.32, 9,321.68 and 1,831.41

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Solution

The fourth proportional to 6,214.32, 9,321.68 and 1,831.41 is: 2,747.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.32 : 9,321.68 = 1,831.41 : x
  2. Step 2: Convert to fraction form
    6,214.32/9,321.68 = 1,831.41/x
  3. Step 3: Cross multiply
    6,214.32x = 9,321.68 × 1,831.41
  4. Step 4: Simplify right side
    6,214.32x = 17,071,822.55
  5. Step 5: Solve for x
    x = 17,071,822.55/6,214.32
  6. Step 6: Final answer
    x = 2,747.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.