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Finding the Fourth Proportional to 6,815.81, 9,405.61 and 3,831.57

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Solution

The fourth proportional to 6,815.81, 9,405.61 and 3,831.57 is: 5,287.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.81 : 9,405.61 = 3,831.57 : x
  2. Step 2: Convert to fraction form
    6,815.81/9,405.61 = 3,831.57/x
  3. Step 3: Cross multiply
    6,815.81x = 9,405.61 × 3,831.57
  4. Step 4: Simplify right side
    6,815.81x = 36,038,243.53
  5. Step 5: Solve for x
    x = 36,038,243.53/6,815.81
  6. Step 6: Final answer
    x = 5,287.45

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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.