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Finding the Fourth Proportional to 6,288.10, 9,434.19 and 3,000.76

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Solution

The fourth proportional to 6,288.10, 9,434.19 and 3,000.76 is: 4,502.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.10 : 9,434.19 = 3,000.76 : x
  2. Step 2: Convert to fraction form
    6,288.10/9,434.19 = 3,000.76/x
  3. Step 3: Cross multiply
    6,288.10x = 9,434.19 × 3,000.76
  4. Step 4: Simplify right side
    6,288.10x = 28,309,739.98
  5. Step 5: Solve for x
    x = 28,309,739.98/6,288.10
  6. Step 6: Final answer
    x = 4,502.12

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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.