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Finding the Fourth Proportional to 9,287.82, 12,817.86 and 5,310.18

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Solution

The fourth proportional to 9,287.82, 12,817.86 and 5,310.18 is: 7,328.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.82 : 12,817.86 = 5,310.18 : x
  2. Step 2: Convert to fraction form
    9,287.82/12,817.86 = 5,310.18/x
  3. Step 3: Cross multiply
    9,287.82x = 12,817.86 × 5,310.18
  4. Step 4: Simplify right side
    9,287.82x = 68,065,143.81
  5. Step 5: Solve for x
    x = 68,065,143.81/9,287.82
  6. Step 6: Final answer
    x = 7,328.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.