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Finding the Fourth Proportional to 6,415.73, 8,853.67 and 3,583.07

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Solution

The fourth proportional to 6,415.73, 8,853.67 and 3,583.07 is: 4,944.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.73 : 8,853.67 = 3,583.07 : x
  2. Step 2: Convert to fraction form
    6,415.73/8,853.67 = 3,583.07/x
  3. Step 3: Cross multiply
    6,415.73x = 8,853.67 × 3,583.07
  4. Step 4: Simplify right side
    6,415.73x = 31,723,319.37
  5. Step 5: Solve for x
    x = 31,723,319.37/6,415.73
  6. Step 6: Final answer
    x = 4,944.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.