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Finding the Fourth Proportional to 6,926.86, 9,556.68 and 3,901.51

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Solution

The fourth proportional to 6,926.86, 9,556.68 and 3,901.51 is: 5,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,926.86 : 9,556.68 = 3,901.51 : x
  2. Step 2: Convert to fraction form
    6,926.86/9,556.68 = 3,901.51/x
  3. Step 3: Cross multiply
    6,926.86x = 9,556.68 × 3,901.51
  4. Step 4: Simplify right side
    6,926.86x = 37,285,509.16
  5. Step 5: Solve for x
    x = 37,285,509.16/6,926.86
  6. Step 6: Final answer
    x = 5,382.74

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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.