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Finding the Fourth Proportional to 6,513.41, 9,763.40 and 2,812.52

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Solution

The fourth proportional to 6,513.41, 9,763.40 and 2,812.52 is: 4,215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.41 : 9,763.40 = 2,812.52 : x
  2. Step 2: Convert to fraction form
    6,513.41/9,763.40 = 2,812.52/x
  3. Step 3: Cross multiply
    6,513.41x = 9,763.40 × 2,812.52
  4. Step 4: Simplify right side
    6,513.41x = 27,459,789.21
  5. Step 5: Solve for x
    x = 27,459,789.21/6,513.41
  6. Step 6: Final answer
    x = 4,215.88

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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.