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Finding the Fourth Proportional to 9,356.06, 12,911.38 and 5,164.31

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Solution

The fourth proportional to 9,356.06, 12,911.38 and 5,164.31 is: 7,126.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.06 : 12,911.38 = 5,164.31 : x
  2. Step 2: Convert to fraction form
    9,356.06/12,911.38 = 5,164.31/x
  3. Step 3: Cross multiply
    9,356.06x = 12,911.38 × 5,164.31
  4. Step 4: Simplify right side
    9,356.06x = 66,678,388.22
  5. Step 5: Solve for x
    x = 66,678,388.22/9,356.06
  6. Step 6: Final answer
    x = 7,126.76

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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.