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Finding the Fourth Proportional to 9,138.24, 13,695.06 and 4,196.99

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Solution

The fourth proportional to 9,138.24, 13,695.06 and 4,196.99 is: 6,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.24 : 13,695.06 = 4,196.99 : x
  2. Step 2: Convert to fraction form
    9,138.24/13,695.06 = 4,196.99/x
  3. Step 3: Cross multiply
    9,138.24x = 13,695.06 × 4,196.99
  4. Step 4: Simplify right side
    9,138.24x = 57,478,035.43
  5. Step 5: Solve for x
    x = 57,478,035.43/9,138.24
  6. Step 6: Final answer
    x = 6,289.83

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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.