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Finding the Fourth Proportional to 6,831.52, 9,428.88 and 5,336.48

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Solution

The fourth proportional to 6,831.52, 9,428.88 and 5,336.48 is: 7,365.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.52 : 9,428.88 = 5,336.48 : x
  2. Step 2: Convert to fraction form
    6,831.52/9,428.88 = 5,336.48/x
  3. Step 3: Cross multiply
    6,831.52x = 9,428.88 × 5,336.48
  4. Step 4: Simplify right side
    6,831.52x = 50,317,029.54
  5. Step 5: Solve for x
    x = 50,317,029.54/6,831.52
  6. Step 6: Final answer
    x = 7,365.42

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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.