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Finding the Fourth Proportional to 9,262.38, 12,782.38 and 5,070.62

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Solution

The fourth proportional to 9,262.38, 12,782.38 and 5,070.62 is: 6,997.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.38 : 12,782.38 = 5,070.62 : x
  2. Step 2: Convert to fraction form
    9,262.38/12,782.38 = 5,070.62/x
  3. Step 3: Cross multiply
    9,262.38x = 12,782.38 × 5,070.62
  4. Step 4: Simplify right side
    9,262.38x = 64,814,591.68
  5. Step 5: Solve for x
    x = 64,814,591.68/9,262.38
  6. Step 6: Final answer
    x = 6,997.62

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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.