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Finding the Fourth Proportional to 9,967.09, 14,954.08 and 4,424.31

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Solution

The fourth proportional to 9,967.09, 14,954.08 and 4,424.31 is: 6,638.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.09 : 14,954.08 = 4,424.31 : x
  2. Step 2: Convert to fraction form
    9,967.09/14,954.08 = 4,424.31/x
  3. Step 3: Cross multiply
    9,967.09x = 14,954.08 × 4,424.31
  4. Step 4: Simplify right side
    9,967.09x = 66,161,512.01
  5. Step 5: Solve for x
    x = 66,161,512.01/9,967.09
  6. Step 6: Final answer
    x = 6,638.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.