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Finding the Fourth Proportional to 9,094.84, 13,633.16 and 3,831.12

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Solution

The fourth proportional to 9,094.84, 13,633.16 and 3,831.12 is: 5,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.84 : 13,633.16 = 3,831.12 : x
  2. Step 2: Convert to fraction form
    9,094.84/13,633.16 = 3,831.12/x
  3. Step 3: Cross multiply
    9,094.84x = 13,633.16 × 3,831.12
  4. Step 4: Simplify right side
    9,094.84x = 52,230,252.78
  5. Step 5: Solve for x
    x = 52,230,252.78/9,094.84
  6. Step 6: Final answer
    x = 5,742.85

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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.