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Finding the Fourth Proportional to 9,228.81, 13,845.21 and 2,989.45

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Solution

The fourth proportional to 9,228.81, 13,845.21 and 2,989.45 is: 4,484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.81 : 13,845.21 = 2,989.45 : x
  2. Step 2: Convert to fraction form
    9,228.81/13,845.21 = 2,989.45/x
  3. Step 3: Cross multiply
    9,228.81x = 13,845.21 × 2,989.45
  4. Step 4: Simplify right side
    9,228.81x = 41,389,563.03
  5. Step 5: Solve for x
    x = 41,389,563.03/9,228.81
  6. Step 6: Final answer
    x = 4,484.82

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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.