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Finding the Fourth Proportional to 6,546.13, 9,820.04 and 2,385.49

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Solution

The fourth proportional to 6,546.13, 9,820.04 and 2,385.49 is: 3,578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.13 : 9,820.04 = 2,385.49 : x
  2. Step 2: Convert to fraction form
    6,546.13/9,820.04 = 2,385.49/x
  3. Step 3: Cross multiply
    6,546.13x = 9,820.04 × 2,385.49
  4. Step 4: Simplify right side
    6,546.13x = 23,425,607.22
  5. Step 5: Solve for x
    x = 23,425,607.22/6,546.13
  6. Step 6: Final answer
    x = 3,578.54

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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.