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Finding the Fourth Proportional to 6,644.76, 9,967.29 and 1,714.41

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Solution

The fourth proportional to 6,644.76, 9,967.29 and 1,714.41 is: 2,571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.76 : 9,967.29 = 1,714.41 : x
  2. Step 2: Convert to fraction form
    6,644.76/9,967.29 = 1,714.41/x
  3. Step 3: Cross multiply
    6,644.76x = 9,967.29 × 1,714.41
  4. Step 4: Simplify right side
    6,644.76x = 17,088,021.65
  5. Step 5: Solve for x
    x = 17,088,021.65/6,644.76
  6. Step 6: Final answer
    x = 2,571.65

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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.