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Finding the Fourth Proportional to 9,283.60, 12,831.78 and 8,846.20

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Solution

The fourth proportional to 9,283.60, 12,831.78 and 8,846.20 is: 12,227.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.60 : 12,831.78 = 8,846.20 : x
  2. Step 2: Convert to fraction form
    9,283.60/12,831.78 = 8,846.20/x
  3. Step 3: Cross multiply
    9,283.60x = 12,831.78 × 8,846.20
  4. Step 4: Simplify right side
    9,283.60x = 113,512,492.24
  5. Step 5: Solve for x
    x = 113,512,492.24/9,283.60
  6. Step 6: Final answer
    x = 12,227.21

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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.