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Finding the Fourth Proportional to 6,513.08, 9,764.13 and 4,427.24

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Solution

The fourth proportional to 6,513.08, 9,764.13 and 4,427.24 is: 6,637.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.08 : 9,764.13 = 4,427.24 : x
  2. Step 2: Convert to fraction form
    6,513.08/9,764.13 = 4,427.24/x
  3. Step 3: Cross multiply
    6,513.08x = 9,764.13 × 4,427.24
  4. Step 4: Simplify right side
    6,513.08x = 43,228,098.08
  5. Step 5: Solve for x
    x = 43,228,098.08/6,513.08
  6. Step 6: Final answer
    x = 6,637.12

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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.