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Finding the Fourth Proportional to 6,285.12, 8,674.73 and 3,632.16

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Solution

The fourth proportional to 6,285.12, 8,674.73 and 3,632.16 is: 5,013.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.12 : 8,674.73 = 3,632.16 : x
  2. Step 2: Convert to fraction form
    6,285.12/8,674.73 = 3,632.16/x
  3. Step 3: Cross multiply
    6,285.12x = 8,674.73 × 3,632.16
  4. Step 4: Simplify right side
    6,285.12x = 31,508,007.32
  5. Step 5: Solve for x
    x = 31,508,007.32/6,285.12
  6. Step 6: Final answer
    x = 5,013.11

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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.