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Finding the Fourth Proportional to 6,267.38, 9,403.74 and 3,145.77

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Solution

The fourth proportional to 6,267.38, 9,403.74 and 3,145.77 is: 4,720.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.38 : 9,403.74 = 3,145.77 : x
  2. Step 2: Convert to fraction form
    6,267.38/9,403.74 = 3,145.77/x
  3. Step 3: Cross multiply
    6,267.38x = 9,403.74 × 3,145.77
  4. Step 4: Simplify right side
    6,267.38x = 29,582,003.18
  5. Step 5: Solve for x
    x = 29,582,003.18/6,267.38
  6. Step 6: Final answer
    x = 4,720.00

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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.