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Finding the Fourth Proportional to 9,324.56, 13,984.81 and 3,083.10

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Solution

The fourth proportional to 9,324.56, 13,984.81 and 3,083.10 is: 4,623.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.56 : 13,984.81 = 3,083.10 : x
  2. Step 2: Convert to fraction form
    9,324.56/13,984.81 = 3,083.10/x
  3. Step 3: Cross multiply
    9,324.56x = 13,984.81 × 3,083.10
  4. Step 4: Simplify right side
    9,324.56x = 43,116,482.37
  5. Step 5: Solve for x
    x = 43,116,482.37/9,324.56
  6. Step 6: Final answer
    x = 4,623.97

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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.