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Finding the Fourth Proportional to 6,186.63, 9,269.13 and 5,153.25

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Solution

The fourth proportional to 6,186.63, 9,269.13 and 5,153.25 is: 7,720.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.63 : 9,269.13 = 5,153.25 : x
  2. Step 2: Convert to fraction form
    6,186.63/9,269.13 = 5,153.25/x
  3. Step 3: Cross multiply
    6,186.63x = 9,269.13 × 5,153.25
  4. Step 4: Simplify right side
    6,186.63x = 47,766,144.17
  5. Step 5: Solve for x
    x = 47,766,144.17/6,186.63
  6. Step 6: Final answer
    x = 7,720.87

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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.