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Finding the Fourth Proportional to 9,257.30, 13,814.76 and 8,273.15

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Solution

The fourth proportional to 9,257.30, 13,814.76 and 8,273.15 is: 12,346.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.30 : 13,814.76 = 8,273.15 : x
  2. Step 2: Convert to fraction form
    9,257.30/13,814.76 = 8,273.15/x
  3. Step 3: Cross multiply
    9,257.30x = 13,814.76 × 8,273.15
  4. Step 4: Simplify right side
    9,257.30x = 114,291,512.62
  5. Step 5: Solve for x
    x = 114,291,512.62/9,257.30
  6. Step 6: Final answer
    x = 12,346.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.