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Finding the Fourth Proportional to 7,118.43, 9,828.06 and 6,371.09

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Solution

The fourth proportional to 7,118.43, 9,828.06 and 6,371.09 is: 8,796.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.43 : 9,828.06 = 6,371.09 : x
  2. Step 2: Convert to fraction form
    7,118.43/9,828.06 = 6,371.09/x
  3. Step 3: Cross multiply
    7,118.43x = 9,828.06 × 6,371.09
  4. Step 4: Simplify right side
    7,118.43x = 62,615,422.93
  5. Step 5: Solve for x
    x = 62,615,422.93/7,118.43
  6. Step 6: Final answer
    x = 8,796.24

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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.