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Finding the Fourth Proportional to 6,694.06, 9,238.89 and 6,398.77

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Solution

The fourth proportional to 6,694.06, 9,238.89 and 6,398.77 is: 8,831.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.06 : 9,238.89 = 6,398.77 : x
  2. Step 2: Convert to fraction form
    6,694.06/9,238.89 = 6,398.77/x
  3. Step 3: Cross multiply
    6,694.06x = 9,238.89 × 6,398.77
  4. Step 4: Simplify right side
    6,694.06x = 59,117,532.17
  5. Step 5: Solve for x
    x = 59,117,532.17/6,694.06
  6. Step 6: Final answer
    x = 8,831.34

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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.