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Finding the Fourth Proportional to 6,815.76, 9,405.50 and 3,831.50

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Solution

The fourth proportional to 6,815.76, 9,405.50 and 3,831.50 is: 5,287.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.76 : 9,405.50 = 3,831.50 : x
  2. Step 2: Convert to fraction form
    6,815.76/9,405.50 = 3,831.50/x
  3. Step 3: Cross multiply
    6,815.76x = 9,405.50 × 3,831.50
  4. Step 4: Simplify right side
    6,815.76x = 36,037,107.07
  5. Step 5: Solve for x
    x = 36,037,107.07/6,815.76
  6. Step 6: Final answer
    x = 5,287.32

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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.