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Finding the Fourth Proportional to 9,389.72, 14,083.67 and 2,464.22

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Solution

The fourth proportional to 9,389.72, 14,083.67 and 2,464.22 is: 3,696.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.72 : 14,083.67 = 2,464.22 : x
  2. Step 2: Convert to fraction form
    9,389.72/14,083.67 = 2,464.22/x
  3. Step 3: Cross multiply
    9,389.72x = 14,083.67 × 2,464.22
  4. Step 4: Simplify right side
    9,389.72x = 34,705,261.29
  5. Step 5: Solve for x
    x = 34,705,261.29/9,389.72
  6. Step 6: Final answer
    x = 3,696.09

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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.