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Finding the Fourth Proportional to 9,028.84, 13,536.78 and 3,831.88

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Solution

The fourth proportional to 9,028.84, 13,536.78 and 3,831.88 is: 5,745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,028.84 : 13,536.78 = 3,831.88 : x
  2. Step 2: Convert to fraction form
    9,028.84/13,536.78 = 3,831.88/x
  3. Step 3: Cross multiply
    9,028.84x = 13,536.78 × 3,831.88
  4. Step 4: Simplify right side
    9,028.84x = 51,871,316.55
  5. Step 5: Solve for x
    x = 51,871,316.55/9,028.84
  6. Step 6: Final answer
    x = 5,745.07

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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.