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Finding the Fourth Proportional to 6,864.16, 9,471.84 and 4,211.68

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Solution

The fourth proportional to 6,864.16, 9,471.84 and 4,211.68 is: 5,811.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.16 : 9,471.84 = 4,211.68 : x
  2. Step 2: Convert to fraction form
    6,864.16/9,471.84 = 4,211.68/x
  3. Step 3: Cross multiply
    6,864.16x = 9,471.84 × 4,211.68
  4. Step 4: Simplify right side
    6,864.16x = 39,892,359.09
  5. Step 5: Solve for x
    x = 39,892,359.09/6,864.16
  6. Step 6: Final answer
    x = 5,811.69

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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.