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Finding the Fourth Proportional to 9,201.13, 12,697.55 and 5,009.38

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Solution

The fourth proportional to 9,201.13, 12,697.55 and 5,009.38 is: 6,912.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.13 : 12,697.55 = 5,009.38 : x
  2. Step 2: Convert to fraction form
    9,201.13/12,697.55 = 5,009.38/x
  3. Step 3: Cross multiply
    9,201.13x = 12,697.55 × 5,009.38
  4. Step 4: Simplify right side
    9,201.13x = 63,606,853.02
  5. Step 5: Solve for x
    x = 63,606,853.02/9,201.13
  6. Step 6: Final answer
    x = 6,912.94

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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.