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Finding the Fourth Proportional to 6,129.01, 9,181.47 and 4,042.65

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Solution

The fourth proportional to 6,129.01, 9,181.47 and 4,042.65 is: 6,056.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.01 : 9,181.47 = 4,042.65 : x
  2. Step 2: Convert to fraction form
    6,129.01/9,181.47 = 4,042.65/x
  3. Step 3: Cross multiply
    6,129.01x = 9,181.47 × 4,042.65
  4. Step 4: Simplify right side
    6,129.01x = 37,117,469.70
  5. Step 5: Solve for x
    x = 37,117,469.70/6,129.01
  6. Step 6: Final answer
    x = 6,056.04

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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.