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Finding the Fourth Proportional to 6,044.89, 9,054.72 and 5,836

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Solution

The fourth proportional to 6,044.89, 9,054.72 and 5,836 is: 8,741.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,044.89 : 9,054.72 = 5,836 : x
  2. Step 2: Convert to fraction form
    6,044.89/9,054.72 = 5,836/x
  3. Step 3: Cross multiply
    6,044.89x = 9,054.72 × 5,836
  4. Step 4: Simplify right side
    6,044.89x = 52,843,345.92
  5. Step 5: Solve for x
    x = 52,843,345.92/6,044.89
  6. Step 6: Final answer
    x = 8,741.82

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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.