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Finding the Fourth Proportional to 9,284.13, 12,812.16 and 5,092.38

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Solution

The fourth proportional to 9,284.13, 12,812.16 and 5,092.38 is: 7,027.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.13 : 12,812.16 = 5,092.38 : x
  2. Step 2: Convert to fraction form
    9,284.13/12,812.16 = 5,092.38/x
  3. Step 3: Cross multiply
    9,284.13x = 12,812.16 × 5,092.38
  4. Step 4: Simplify right side
    9,284.13x = 65,244,387.34
  5. Step 5: Solve for x
    x = 65,244,387.34/9,284.13
  6. Step 6: Final answer
    x = 7,027.52

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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.