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Finding the Fourth Proportional to 6,142.89, 9,205.04 and 4,575.54

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Solution

The fourth proportional to 6,142.89, 9,205.04 and 4,575.54 is: 6,856.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.89 : 9,205.04 = 4,575.54 : x
  2. Step 2: Convert to fraction form
    6,142.89/9,205.04 = 4,575.54/x
  3. Step 3: Cross multiply
    6,142.89x = 9,205.04 × 4,575.54
  4. Step 4: Simplify right side
    6,142.89x = 42,118,022.90
  5. Step 5: Solve for x
    x = 42,118,022.90/6,142.89
  6. Step 6: Final answer
    x = 6,856.39

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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.