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Finding the Fourth Proportional to 6,508.08, 9,767.59 and 2,813.13

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Solution

The fourth proportional to 6,508.08, 9,767.59 and 2,813.13 is: 4,222.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.08 : 9,767.59 = 2,813.13 : x
  2. Step 2: Convert to fraction form
    6,508.08/9,767.59 = 2,813.13/x
  3. Step 3: Cross multiply
    6,508.08x = 9,767.59 × 2,813.13
  4. Step 4: Simplify right side
    6,508.08x = 27,477,493.42
  5. Step 5: Solve for x
    x = 27,477,493.42/6,508.08
  6. Step 6: Final answer
    x = 4,222.06

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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.