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Finding the Fourth Proportional to 7,041.38, 9,717.17 and 3,897.63

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Solution

The fourth proportional to 7,041.38, 9,717.17 and 3,897.63 is: 5,378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.38 : 9,717.17 = 3,897.63 : x
  2. Step 2: Convert to fraction form
    7,041.38/9,717.17 = 3,897.63/x
  3. Step 3: Cross multiply
    7,041.38x = 9,717.17 × 3,897.63
  4. Step 4: Simplify right side
    7,041.38x = 37,873,913.82
  5. Step 5: Solve for x
    x = 37,873,913.82/7,041.38
  6. Step 6: Final answer
    x = 5,378.77

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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.