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Finding the Fourth Proportional to 6,199.70, 9,294.23 and 2,038.59

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Solution

The fourth proportional to 6,199.70, 9,294.23 and 2,038.59 is: 3,056.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.70 : 9,294.23 = 2,038.59 : x
  2. Step 2: Convert to fraction form
    6,199.70/9,294.23 = 2,038.59/x
  3. Step 3: Cross multiply
    6,199.70x = 9,294.23 × 2,038.59
  4. Step 4: Simplify right side
    6,199.70x = 18,947,114.14
  5. Step 5: Solve for x
    x = 18,947,114.14/6,199.70
  6. Step 6: Final answer
    x = 3,056.14

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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.