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Finding the Fourth Proportional to 9,096.72, 13,650.31 and 3,831.32

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Solution

The fourth proportional to 9,096.72, 13,650.31 and 3,831.32 is: 5,749.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.72 : 13,650.31 = 3,831.32 : x
  2. Step 2: Convert to fraction form
    9,096.72/13,650.31 = 3,831.32/x
  3. Step 3: Cross multiply
    9,096.72x = 13,650.31 × 3,831.32
  4. Step 4: Simplify right side
    9,096.72x = 52,298,637.46
  5. Step 5: Solve for x
    x = 52,298,637.46/9,096.72
  6. Step 6: Final answer
    x = 5,749.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.