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Finding the Fourth Proportional to 9,431.13, 13,015.99 and 5,895.48

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Solution

The fourth proportional to 9,431.13, 13,015.99 and 5,895.48 is: 8,136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.13 : 13,015.99 = 5,895.48 : x
  2. Step 2: Convert to fraction form
    9,431.13/13,015.99 = 5,895.48/x
  3. Step 3: Cross multiply
    9,431.13x = 13,015.99 × 5,895.48
  4. Step 4: Simplify right side
    9,431.13x = 76,735,564.90
  5. Step 5: Solve for x
    x = 76,735,564.90/9,431.13
  6. Step 6: Final answer
    x = 8,136.41

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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.