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Finding the Fourth Proportional to 6,184.67, 8,531.93 and 5,946.03

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Solution

The fourth proportional to 6,184.67, 8,531.93 and 5,946.03 is: 8,202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.67 : 8,531.93 = 5,946.03 : x
  2. Step 2: Convert to fraction form
    6,184.67/8,531.93 = 5,946.03/x
  3. Step 3: Cross multiply
    6,184.67x = 8,531.93 × 5,946.03
  4. Step 4: Simplify right side
    6,184.67x = 50,731,082.01
  5. Step 5: Solve for x
    x = 50,731,082.01/6,184.67
  6. Step 6: Final answer
    x = 8,202.72

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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.