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Finding the Fourth Proportional to 6,038.94, 9,059.33 and 2,142.44

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Solution

The fourth proportional to 6,038.94, 9,059.33 and 2,142.44 is: 3,213.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.94 : 9,059.33 = 2,142.44 : x
  2. Step 2: Convert to fraction form
    6,038.94/9,059.33 = 2,142.44/x
  3. Step 3: Cross multiply
    6,038.94x = 9,059.33 × 2,142.44
  4. Step 4: Simplify right side
    6,038.94x = 19,409,070.97
  5. Step 5: Solve for x
    x = 19,409,070.97/6,038.94
  6. Step 6: Final answer
    x = 3,213.99

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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.