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Finding the Fourth Proportional to 6,146.76, 9,220.09 and 2,858.02

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Solution

The fourth proportional to 6,146.76, 9,220.09 and 2,858.02 is: 4,287.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.76 : 9,220.09 = 2,858.02 : x
  2. Step 2: Convert to fraction form
    6,146.76/9,220.09 = 2,858.02/x
  3. Step 3: Cross multiply
    6,146.76x = 9,220.09 × 2,858.02
  4. Step 4: Simplify right side
    6,146.76x = 26,351,201.62
  5. Step 5: Solve for x
    x = 26,351,201.62/6,146.76
  6. Step 6: Final answer
    x = 4,287.01

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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.