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Finding the Fourth Proportional to 9,570.38, 13,207.39 and 5,794.22

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Solution

The fourth proportional to 9,570.38, 13,207.39 and 5,794.22 is: 7,996.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.38 : 13,207.39 = 5,794.22 : x
  2. Step 2: Convert to fraction form
    9,570.38/13,207.39 = 5,794.22/x
  3. Step 3: Cross multiply
    9,570.38x = 13,207.39 × 5,794.22
  4. Step 4: Simplify right side
    9,570.38x = 76,526,541.82
  5. Step 5: Solve for x
    x = 76,526,541.82/9,570.38
  6. Step 6: Final answer
    x = 7,996.19

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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.