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Finding the Fourth Proportional to 6,189.67, 8,548.74 and 4,196.76

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Solution

The fourth proportional to 6,189.67, 8,548.74 and 4,196.76 is: 5,796.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.67 : 8,548.74 = 4,196.76 : x
  2. Step 2: Convert to fraction form
    6,189.67/8,548.74 = 4,196.76/x
  3. Step 3: Cross multiply
    6,189.67x = 8,548.74 × 4,196.76
  4. Step 4: Simplify right side
    6,189.67x = 35,877,026.11
  5. Step 5: Solve for x
    x = 35,877,026.11/6,189.67
  6. Step 6: Final answer
    x = 5,796.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.