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Finding the Fourth Proportional to 9,610.38, 13,274.10 and 6,953.58

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Solution

The fourth proportional to 9,610.38, 13,274.10 and 6,953.58 is: 9,604.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.38 : 13,274.10 = 6,953.58 : x
  2. Step 2: Convert to fraction form
    9,610.38/13,274.10 = 6,953.58/x
  3. Step 3: Cross multiply
    9,610.38x = 13,274.10 × 6,953.58
  4. Step 4: Simplify right side
    9,610.38x = 92,302,516.28
  5. Step 5: Solve for x
    x = 92,302,516.28/9,610.38
  6. Step 6: Final answer
    x = 9,604.46

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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.