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Finding the Fourth Proportional to 9,522.99, 13,133.57 and 5,745.35

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Solution

The fourth proportional to 9,522.99, 13,133.57 and 5,745.35 is: 7,923.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.99 : 13,133.57 = 5,745.35 : x
  2. Step 2: Convert to fraction form
    9,522.99/13,133.57 = 5,745.35/x
  3. Step 3: Cross multiply
    9,522.99x = 13,133.57 × 5,745.35
  4. Step 4: Simplify right side
    9,522.99x = 75,456,862.00
  5. Step 5: Solve for x
    x = 75,456,862.00/9,522.99
  6. Step 6: Final answer
    x = 7,923.65

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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.