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Finding the Fourth Proportional to 6,469.14, 9,702.99 and 1,852.02

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Solution

The fourth proportional to 6,469.14, 9,702.99 and 1,852.02 is: 2,777.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.14 : 9,702.99 = 1,852.02 : x
  2. Step 2: Convert to fraction form
    6,469.14/9,702.99 = 1,852.02/x
  3. Step 3: Cross multiply
    6,469.14x = 9,702.99 × 1,852.02
  4. Step 4: Simplify right side
    6,469.14x = 17,970,131.54
  5. Step 5: Solve for x
    x = 17,970,131.54/6,469.14
  6. Step 6: Final answer
    x = 2,777.82

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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.