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Finding the Fourth Proportional to 6,302.70, 9,455.07 and 1,919.13

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Solution

The fourth proportional to 6,302.70, 9,455.07 and 1,919.13 is: 2,879.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.70 : 9,455.07 = 1,919.13 : x
  2. Step 2: Convert to fraction form
    6,302.70/9,455.07 = 1,919.13/x
  3. Step 3: Cross multiply
    6,302.70x = 9,455.07 × 1,919.13
  4. Step 4: Simplify right side
    6,302.70x = 18,145,508.49
  5. Step 5: Solve for x
    x = 18,145,508.49/6,302.70
  6. Step 6: Final answer
    x = 2,879.01

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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.