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Finding the Fourth Proportional to 6,473.52, 9,710.34 and 5,183.19

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Solution

The fourth proportional to 6,473.52, 9,710.34 and 5,183.19 is: 7,774.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.52 : 9,710.34 = 5,183.19 : x
  2. Step 2: Convert to fraction form
    6,473.52/9,710.34 = 5,183.19/x
  3. Step 3: Cross multiply
    6,473.52x = 9,710.34 × 5,183.19
  4. Step 4: Simplify right side
    6,473.52x = 50,330,537.18
  5. Step 5: Solve for x
    x = 50,330,537.18/6,473.52
  6. Step 6: Final answer
    x = 7,774.83

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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.