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Finding the Fourth Proportional to 6,977.64, 9,628.68 and 3,833.76

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Solution

The fourth proportional to 6,977.64, 9,628.68 and 3,833.76 is: 5,290.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.64 : 9,628.68 = 3,833.76 : x
  2. Step 2: Convert to fraction form
    6,977.64/9,628.68 = 3,833.76/x
  3. Step 3: Cross multiply
    6,977.64x = 9,628.68 × 3,833.76
  4. Step 4: Simplify right side
    6,977.64x = 36,914,048.24
  5. Step 5: Solve for x
    x = 36,914,048.24/6,977.64
  6. Step 6: Final answer
    x = 5,290.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.