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Finding the Fourth Proportional to 6,815.55, 9,406.43 and 3,831.58

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Solution

The fourth proportional to 6,815.55, 9,406.43 and 3,831.58 is: 5,288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.55 : 9,406.43 = 3,831.58 : x
  2. Step 2: Convert to fraction form
    6,815.55/9,406.43 = 3,831.58/x
  3. Step 3: Cross multiply
    6,815.55x = 9,406.43 × 3,831.58
  4. Step 4: Simplify right side
    6,815.55x = 36,041,489.06
  5. Step 5: Solve for x
    x = 36,041,489.06/6,815.55
  6. Step 6: Final answer
    x = 5,288.13

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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.