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Finding the Fourth Proportional to 9,832.23, 13,569.99 and 5,583.75

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Solution

The fourth proportional to 9,832.23, 13,569.99 and 5,583.75 is: 7,706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.23 : 13,569.99 = 5,583.75 : x
  2. Step 2: Convert to fraction form
    9,832.23/13,569.99 = 5,583.75/x
  3. Step 3: Cross multiply
    9,832.23x = 13,569.99 × 5,583.75
  4. Step 4: Simplify right side
    9,832.23x = 75,771,431.66
  5. Step 5: Solve for x
    x = 75,771,431.66/9,832.23
  6. Step 6: Final answer
    x = 7,706.43

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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.