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Finding the Fourth Proportional to 6,105.46, 9,158.22 and 4,038.52

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Solution

The fourth proportional to 6,105.46, 9,158.22 and 4,038.52 is: 6,057.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.46 : 9,158.22 = 4,038.52 : x
  2. Step 2: Convert to fraction form
    6,105.46/9,158.22 = 4,038.52/x
  3. Step 3: Cross multiply
    6,105.46x = 9,158.22 × 4,038.52
  4. Step 4: Simplify right side
    6,105.46x = 36,985,654.63
  5. Step 5: Solve for x
    x = 36,985,654.63/6,105.46
  6. Step 6: Final answer
    x = 6,057.80

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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.