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Finding the Fourth Proportional to 6,546.53, 9,818.82 and 2,164.01

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Solution

The fourth proportional to 6,546.53, 9,818.82 and 2,164.01 is: 3,245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.53 : 9,818.82 = 2,164.01 : x
  2. Step 2: Convert to fraction form
    6,546.53/9,818.82 = 2,164.01/x
  3. Step 3: Cross multiply
    6,546.53x = 9,818.82 × 2,164.01
  4. Step 4: Simplify right side
    6,546.53x = 21,248,024.67
  5. Step 5: Solve for x
    x = 21,248,024.67/6,546.53
  6. Step 6: Final answer
    x = 3,245.69

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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.