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Finding the Fourth Proportional to 9,865.62, 13,611.51 and 5,673.06

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Solution

The fourth proportional to 9,865.62, 13,611.51 and 5,673.06 is: 7,827.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.62 : 13,611.51 = 5,673.06 : x
  2. Step 2: Convert to fraction form
    9,865.62/13,611.51 = 5,673.06/x
  3. Step 3: Cross multiply
    9,865.62x = 13,611.51 × 5,673.06
  4. Step 4: Simplify right side
    9,865.62x = 77,218,912.92
  5. Step 5: Solve for x
    x = 77,218,912.92/9,865.62
  6. Step 6: Final answer
    x = 7,827.07

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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.