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Finding the Fourth Proportional to 6,215.94, 9,316.22 and 2,882.18

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Solution

The fourth proportional to 6,215.94, 9,316.22 and 2,882.18 is: 4,319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215.94 : 9,316.22 = 2,882.18 : x
  2. Step 2: Convert to fraction form
    6,215.94/9,316.22 = 2,882.18/x
  3. Step 3: Cross multiply
    6,215.94x = 9,316.22 × 2,882.18
  4. Step 4: Simplify right side
    6,215.94x = 26,851,031.84
  5. Step 5: Solve for x
    x = 26,851,031.84/6,215.94
  6. Step 6: Final answer
    x = 4,319.71

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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.