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Finding the Fourth Proportional to 6,967.76, 9,614.04 and 4,448.28

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Solution

The fourth proportional to 6,967.76, 9,614.04 and 4,448.28 is: 6,137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.76 : 9,614.04 = 4,448.28 : x
  2. Step 2: Convert to fraction form
    6,967.76/9,614.04 = 4,448.28/x
  3. Step 3: Cross multiply
    6,967.76x = 9,614.04 × 4,448.28
  4. Step 4: Simplify right side
    6,967.76x = 42,765,941.85
  5. Step 5: Solve for x
    x = 42,765,941.85/6,967.76
  6. Step 6: Final answer
    x = 6,137.69

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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.