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Finding the Fourth Proportional to 6,513.96, 9,767.58 and 3,002.92

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Solution

The fourth proportional to 6,513.96, 9,767.58 and 3,002.92 is: 4,502.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.96 : 9,767.58 = 3,002.92 : x
  2. Step 2: Convert to fraction form
    6,513.96/9,767.58 = 3,002.92/x
  3. Step 3: Cross multiply
    6,513.96x = 9,767.58 × 3,002.92
  4. Step 4: Simplify right side
    6,513.96x = 29,331,261.33
  5. Step 5: Solve for x
    x = 29,331,261.33/6,513.96
  6. Step 6: Final answer
    x = 4,502.83

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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.