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Finding the Fourth Proportional to 6,285.61, 8,674.32 and 3,768.13

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Solution

The fourth proportional to 6,285.61, 8,674.32 and 3,768.13 is: 5,200.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.61 : 8,674.32 = 3,768.13 : x
  2. Step 2: Convert to fraction form
    6,285.61/8,674.32 = 3,768.13/x
  3. Step 3: Cross multiply
    6,285.61x = 8,674.32 × 3,768.13
  4. Step 4: Simplify right side
    6,285.61x = 32,685,965.42
  5. Step 5: Solve for x
    x = 32,685,965.42/6,285.61
  6. Step 6: Final answer
    x = 5,200.13

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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.