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Finding the Fourth Proportional to 6,194.22, 9,294.05 and 2,907.03

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Solution

The fourth proportional to 6,194.22, 9,294.05 and 2,907.03 is: 4,361.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.22 : 9,294.05 = 2,907.03 : x
  2. Step 2: Convert to fraction form
    6,194.22/9,294.05 = 2,907.03/x
  3. Step 3: Cross multiply
    6,194.22x = 9,294.05 × 2,907.03
  4. Step 4: Simplify right side
    6,194.22x = 27,018,082.17
  5. Step 5: Solve for x
    x = 27,018,082.17/6,194.22
  6. Step 6: Final answer
    x = 4,361.82

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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.