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Finding the Fourth Proportional to 6,114.89, 9,166.87 and 4,553.01

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Solution

The fourth proportional to 6,114.89, 9,166.87 and 4,553.01 is: 6,825.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.89 : 9,166.87 = 4,553.01 : x
  2. Step 2: Convert to fraction form
    6,114.89/9,166.87 = 4,553.01/x
  3. Step 3: Cross multiply
    6,114.89x = 9,166.87 × 4,553.01
  4. Step 4: Simplify right side
    6,114.89x = 41,736,856.47
  5. Step 5: Solve for x
    x = 41,736,856.47/6,114.89
  6. Step 6: Final answer
    x = 6,825.44

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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.