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Finding the Fourth Proportional to 6,964.07, 9,610.38 and 3,820.19

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Solution

The fourth proportional to 6,964.07, 9,610.38 and 3,820.19 is: 5,271.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.07 : 9,610.38 = 3,820.19 : x
  2. Step 2: Convert to fraction form
    6,964.07/9,610.38 = 3,820.19/x
  3. Step 3: Cross multiply
    6,964.07x = 9,610.38 × 3,820.19
  4. Step 4: Simplify right side
    6,964.07x = 36,713,429.52
  5. Step 5: Solve for x
    x = 36,713,429.52/6,964.07
  6. Step 6: Final answer
    x = 5,271.84

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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.