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Finding the Fourth Proportional to 6,626.34, 9,144.72 and 3,831.84

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Solution

The fourth proportional to 6,626.34, 9,144.72 and 3,831.84 is: 5,288.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,626.34 : 9,144.72 = 3,831.84 : x
  2. Step 2: Convert to fraction form
    6,626.34/9,144.72 = 3,831.84/x
  3. Step 3: Cross multiply
    6,626.34x = 9,144.72 × 3,831.84
  4. Step 4: Simplify right side
    6,626.34x = 35,041,103.88
  5. Step 5: Solve for x
    x = 35,041,103.88/6,626.34
  6. Step 6: Final answer
    x = 5,288.15

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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.