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Finding the Fourth Proportional to 7,077.12, 9,767.04 and 4,424.64

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Solution

The fourth proportional to 7,077.12, 9,767.04 and 4,424.64 is: 6,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.12 : 9,767.04 = 4,424.64 : x
  2. Step 2: Convert to fraction form
    7,077.12/9,767.04 = 4,424.64/x
  3. Step 3: Cross multiply
    7,077.12x = 9,767.04 × 4,424.64
  4. Step 4: Simplify right side
    7,077.12x = 43,215,635.87
  5. Step 5: Solve for x
    x = 43,215,635.87/7,077.12
  6. Step 6: Final answer
    x = 6,106.39

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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.