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Finding the Fourth Proportional to 6,122.00, 9,166.43 and 4,798.80

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Solution

The fourth proportional to 6,122.00, 9,166.43 and 4,798.80 is: 7,185.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.00 : 9,166.43 = 4,798.80 : x
  2. Step 2: Convert to fraction form
    6,122.00/9,166.43 = 4,798.80/x
  3. Step 3: Cross multiply
    6,122.00x = 9,166.43 × 4,798.80
  4. Step 4: Simplify right side
    6,122.00x = 43,987,876.28
  5. Step 5: Solve for x
    x = 43,987,876.28/6,122.00
  6. Step 6: Final answer
    x = 7,185.21

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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.