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Finding the Fourth Proportional to 6,483.78, 8,946.36 and 3,831.66

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Solution

The fourth proportional to 6,483.78, 8,946.36 and 3,831.66 is: 5,286.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.78 : 8,946.36 = 3,831.66 : x
  2. Step 2: Convert to fraction form
    6,483.78/8,946.36 = 3,831.66/x
  3. Step 3: Cross multiply
    6,483.78x = 8,946.36 × 3,831.66
  4. Step 4: Simplify right side
    6,483.78x = 34,279,409.76
  5. Step 5: Solve for x
    x = 34,279,409.76/6,483.78
  6. Step 6: Final answer
    x = 5,286.95

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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.