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Finding the Fourth Proportional to 9,638.81, 13,299.14 and 5,659.16

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Solution

The fourth proportional to 9,638.81, 13,299.14 and 5,659.16 is: 7,808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.81 : 13,299.14 = 5,659.16 : x
  2. Step 2: Convert to fraction form
    9,638.81/13,299.14 = 5,659.16/x
  3. Step 3: Cross multiply
    9,638.81x = 13,299.14 × 5,659.16
  4. Step 4: Simplify right side
    9,638.81x = 75,261,866.33
  5. Step 5: Solve for x
    x = 75,261,866.33/9,638.81
  6. Step 6: Final answer
    x = 7,808.21

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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.