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Finding the Fourth Proportional to 9,018.23, 12,461.06 and 6,940.31

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Solution

The fourth proportional to 9,018.23, 12,461.06 and 6,940.31 is: 9,589.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,018.23 : 12,461.06 = 6,940.31 : x
  2. Step 2: Convert to fraction form
    9,018.23/12,461.06 = 6,940.31/x
  3. Step 3: Cross multiply
    9,018.23x = 12,461.06 × 6,940.31
  4. Step 4: Simplify right side
    9,018.23x = 86,483,584.63
  5. Step 5: Solve for x
    x = 86,483,584.63/9,018.23
  6. Step 6: Final answer
    x = 9,589.86

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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.