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Finding the Fourth Proportional to 6,628.95, 9,148.68 and 3,977.01

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Solution

The fourth proportional to 6,628.95, 9,148.68 and 3,977.01 is: 5,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628.95 : 9,148.68 = 3,977.01 : x
  2. Step 2: Convert to fraction form
    6,628.95/9,148.68 = 3,977.01/x
  3. Step 3: Cross multiply
    6,628.95x = 9,148.68 × 3,977.01
  4. Step 4: Simplify right side
    6,628.95x = 36,384,391.85
  5. Step 5: Solve for x
    x = 36,384,391.85/6,628.95
  6. Step 6: Final answer
    x = 5,488.71

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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.