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Finding the Fourth Proportional to 6,497.83, 9,738.55 and 2,795.77

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Solution

The fourth proportional to 6,497.83, 9,738.55 and 2,795.77 is: 4,190.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.83 : 9,738.55 = 2,795.77 : x
  2. Step 2: Convert to fraction form
    6,497.83/9,738.55 = 2,795.77/x
  3. Step 3: Cross multiply
    6,497.83x = 9,738.55 × 2,795.77
  4. Step 4: Simplify right side
    6,497.83x = 27,226,745.93
  5. Step 5: Solve for x
    x = 27,226,745.93/6,497.83
  6. Step 6: Final answer
    x = 4,190.13

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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.