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Finding the Fourth Proportional to 6,214.17, 9,318.06 and 1,831.05

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Solution

The fourth proportional to 6,214.17, 9,318.06 and 1,831.05 is: 2,745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.17 : 9,318.06 = 1,831.05 : x
  2. Step 2: Convert to fraction form
    6,214.17/9,318.06 = 1,831.05/x
  3. Step 3: Cross multiply
    6,214.17x = 9,318.06 × 1,831.05
  4. Step 4: Simplify right side
    6,214.17x = 17,061,833.76
  5. Step 5: Solve for x
    x = 17,061,833.76/6,214.17
  6. Step 6: Final answer
    x = 2,745.63

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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.