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Finding the Fourth Proportional to 6,848.91, 9,451.92 and 3,863.64

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Solution

The fourth proportional to 6,848.91, 9,451.92 and 3,863.64 is: 5,332.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.91 : 9,451.92 = 3,863.64 : x
  2. Step 2: Convert to fraction form
    6,848.91/9,451.92 = 3,863.64/x
  3. Step 3: Cross multiply
    6,848.91x = 9,451.92 × 3,863.64
  4. Step 4: Simplify right side
    6,848.91x = 36,518,816.19
  5. Step 5: Solve for x
    x = 36,518,816.19/6,848.91
  6. Step 6: Final answer
    x = 5,332.06

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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.