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Finding the Fourth Proportional to 6,864.91, 9,467.94 and 4,210.45

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Solution

The fourth proportional to 6,864.91, 9,467.94 and 4,210.45 is: 5,806.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.91 : 9,467.94 = 4,210.45 : x
  2. Step 2: Convert to fraction form
    6,864.91/9,467.94 = 4,210.45/x
  3. Step 3: Cross multiply
    6,864.91x = 9,467.94 × 4,210.45
  4. Step 4: Simplify right side
    6,864.91x = 39,864,287.97
  5. Step 5: Solve for x
    x = 39,864,287.97/6,864.91
  6. Step 6: Final answer
    x = 5,806.96

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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.