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Finding the Fourth Proportional to 9,937.17, 13,713.03 and 5,461.38

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Solution

The fourth proportional to 9,937.17, 13,713.03 and 5,461.38 is: 7,536.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.17 : 13,713.03 = 5,461.38 : x
  2. Step 2: Convert to fraction form
    9,937.17/13,713.03 = 5,461.38/x
  3. Step 3: Cross multiply
    9,937.17x = 13,713.03 × 5,461.38
  4. Step 4: Simplify right side
    9,937.17x = 74,892,067.78
  5. Step 5: Solve for x
    x = 74,892,067.78/9,937.17
  6. Step 6: Final answer
    x = 7,536.56

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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.