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Finding the Fourth Proportional to 6,975.56, 9,626.28 and 3,831.95

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Solution

The fourth proportional to 6,975.56, 9,626.28 and 3,831.95 is: 5,288.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.56 : 9,626.28 = 3,831.95 : x
  2. Step 2: Convert to fraction form
    6,975.56/9,626.28 = 3,831.95/x
  3. Step 3: Cross multiply
    6,975.56x = 9,626.28 × 3,831.95
  4. Step 4: Simplify right side
    6,975.56x = 36,887,433.34
  5. Step 5: Solve for x
    x = 36,887,433.34/6,975.56
  6. Step 6: Final answer
    x = 5,288.09

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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.