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Finding the Fourth Proportional to 6,166.53, 9,245.34 and 4,684.23

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Solution

The fourth proportional to 6,166.53, 9,245.34 and 4,684.23 is: 7,022.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.53 : 9,245.34 = 4,684.23 : x
  2. Step 2: Convert to fraction form
    6,166.53/9,245.34 = 4,684.23/x
  3. Step 3: Cross multiply
    6,166.53x = 9,245.34 × 4,684.23
  4. Step 4: Simplify right side
    6,166.53x = 43,307,298.99
  5. Step 5: Solve for x
    x = 43,307,298.99/6,166.53
  6. Step 6: Final answer
    x = 7,022.96

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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.