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Finding the Fourth Proportional to 9,325, 13,992.99 and 4,130.92

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Solution

The fourth proportional to 9,325, 13,992.99 and 4,130.92 is: 6,198.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,325 : 13,992.99 = 4,130.92 : x
  2. Step 2: Convert to fraction form
    9,325/13,992.99 = 4,130.92/x
  3. Step 3: Cross multiply
    9,325x = 13,992.99 × 4,130.92
  4. Step 4: Simplify right side
    9,325x = 57,803,922.25
  5. Step 5: Solve for x
    x = 57,803,922.25/9,325
  6. Step 6: Final answer
    x = 6,198.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.