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Finding the Fourth Proportional to 9,390.28, 14,099.22 and 5,238.40

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Solution

The fourth proportional to 9,390.28, 14,099.22 and 5,238.40 is: 7,865.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,390.28 : 14,099.22 = 5,238.40 : x
  2. Step 2: Convert to fraction form
    9,390.28/14,099.22 = 5,238.40/x
  3. Step 3: Cross multiply
    9,390.28x = 14,099.22 × 5,238.40
  4. Step 4: Simplify right side
    9,390.28x = 73,857,354.05
  5. Step 5: Solve for x
    x = 73,857,354.05/9,390.28
  6. Step 6: Final answer
    x = 7,865.30

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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.