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Finding the Fourth Proportional to 9,224.53, 12,730.98 and 5,246.62

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Solution

The fourth proportional to 9,224.53, 12,730.98 and 5,246.62 is: 7,240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.53 : 12,730.98 = 5,246.62 : x
  2. Step 2: Convert to fraction form
    9,224.53/12,730.98 = 5,246.62/x
  3. Step 3: Cross multiply
    9,224.53x = 12,730.98 × 5,246.62
  4. Step 4: Simplify right side
    9,224.53x = 66,794,614.29
  5. Step 5: Solve for x
    x = 66,794,614.29/9,224.53
  6. Step 6: Final answer
    x = 7,240.98

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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.