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Finding the Fourth Proportional to 6,193, 9,289.46 and 2,903.76

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Solution

The fourth proportional to 6,193, 9,289.46 and 2,903.76 is: 4,355.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193 : 9,289.46 = 2,903.76 : x
  2. Step 2: Convert to fraction form
    6,193/9,289.46 = 2,903.76/x
  3. Step 3: Cross multiply
    6,193x = 9,289.46 × 2,903.76
  4. Step 4: Simplify right side
    6,193x = 26,974,362.37
  5. Step 5: Solve for x
    x = 26,974,362.37/6,193
  6. Step 6: Final answer
    x = 4,355.62

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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.