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Finding the Fourth Proportional to 6,644.48, 9,914.67 and 5,946.35

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Solution

The fourth proportional to 6,644.48, 9,914.67 and 5,946.35 is: 8,872.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.48 : 9,914.67 = 5,946.35 : x
  2. Step 2: Convert to fraction form
    6,644.48/9,914.67 = 5,946.35/x
  3. Step 3: Cross multiply
    6,644.48x = 9,914.67 × 5,946.35
  4. Step 4: Simplify right side
    6,644.48x = 58,956,087.43
  5. Step 5: Solve for x
    x = 58,956,087.43/6,644.48
  6. Step 6: Final answer
    x = 8,872.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.