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Finding the Fourth Proportional to 6,285.87, 9,429.27 and 1,903.67

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Solution

The fourth proportional to 6,285.87, 9,429.27 and 1,903.67 is: 2,855.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.87 : 9,429.27 = 1,903.67 : x
  2. Step 2: Convert to fraction form
    6,285.87/9,429.27 = 1,903.67/x
  3. Step 3: Cross multiply
    6,285.87x = 9,429.27 × 1,903.67
  4. Step 4: Simplify right side
    6,285.87x = 17,950,234.86
  5. Step 5: Solve for x
    x = 17,950,234.86/6,285.87
  6. Step 6: Final answer
    x = 2,855.65

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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.