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Finding the Fourth Proportional to 6,633.47, 9,948.80 and 1,952.21

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Solution

The fourth proportional to 6,633.47, 9,948.80 and 1,952.21 is: 2,927.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633.47 : 9,948.80 = 1,952.21 : x
  2. Step 2: Convert to fraction form
    6,633.47/9,948.80 = 1,952.21/x
  3. Step 3: Cross multiply
    6,633.47x = 9,948.80 × 1,952.21
  4. Step 4: Simplify right side
    6,633.47x = 19,422,146.85
  5. Step 5: Solve for x
    x = 19,422,146.85/6,633.47
  6. Step 6: Final answer
    x = 2,927.90

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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.