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Finding the Fourth Proportional to 9,801.72, 13,527.54 and 5,611.32

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Solution

The fourth proportional to 9,801.72, 13,527.54 and 5,611.32 is: 7,744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.72 : 13,527.54 = 5,611.32 : x
  2. Step 2: Convert to fraction form
    9,801.72/13,527.54 = 5,611.32/x
  3. Step 3: Cross multiply
    9,801.72x = 13,527.54 × 5,611.32
  4. Step 4: Simplify right side
    9,801.72x = 75,907,355.75
  5. Step 5: Solve for x
    x = 75,907,355.75/9,801.72
  6. Step 6: Final answer
    x = 7,744.29

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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.