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Finding the Fourth Proportional to 9,289.75, 12,819.87 and 5,098

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Solution

The fourth proportional to 9,289.75, 12,819.87 and 5,098 is: 7,035.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.75 : 12,819.87 = 5,098 : x
  2. Step 2: Convert to fraction form
    9,289.75/12,819.87 = 5,098/x
  3. Step 3: Cross multiply
    9,289.75x = 12,819.87 × 5,098
  4. Step 4: Simplify right side
    9,289.75x = 65,355,697.26
  5. Step 5: Solve for x
    x = 65,355,697.26/9,289.75
  6. Step 6: Final answer
    x = 7,035.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.