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Finding the Fourth Proportional to 6,633.16, 9,948.07 and 1,952.23

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Solution

The fourth proportional to 6,633.16, 9,948.07 and 1,952.23 is: 2,927.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633.16 : 9,948.07 = 1,952.23 : x
  2. Step 2: Convert to fraction form
    6,633.16/9,948.07 = 1,952.23/x
  3. Step 3: Cross multiply
    6,633.16x = 9,948.07 × 1,952.23
  4. Step 4: Simplify right side
    6,633.16x = 19,420,920.70
  5. Step 5: Solve for x
    x = 19,420,920.70/6,633.16
  6. Step 6: Final answer
    x = 2,927.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.