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Finding the Fourth Proportional to 9,895.64, 13,662.32 and 8,831.57

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Solution

The fourth proportional to 9,895.64, 13,662.32 and 8,831.57 is: 12,193.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.64 : 13,662.32 = 8,831.57 : x
  2. Step 2: Convert to fraction form
    9,895.64/13,662.32 = 8,831.57/x
  3. Step 3: Cross multiply
    9,895.64x = 13,662.32 × 8,831.57
  4. Step 4: Simplify right side
    9,895.64x = 120,659,622.97
  5. Step 5: Solve for x
    x = 120,659,622.97/9,895.64
  6. Step 6: Final answer
    x = 12,193.22

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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.