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Finding the Fourth Proportional to 9,588.75, 13,233.20 and 5,396.91

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Solution

The fourth proportional to 9,588.75, 13,233.20 and 5,396.91 is: 7,448.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.75 : 13,233.20 = 5,396.91 : x
  2. Step 2: Convert to fraction form
    9,588.75/13,233.20 = 5,396.91/x
  3. Step 3: Cross multiply
    9,588.75x = 13,233.20 × 5,396.91
  4. Step 4: Simplify right side
    9,588.75x = 71,418,362.43
  5. Step 5: Solve for x
    x = 71,418,362.43/9,588.75
  6. Step 6: Final answer
    x = 7,448.14

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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.