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Finding the Fourth Proportional to 9,322.02, 13,983 and 6,391.44

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Solution

The fourth proportional to 9,322.02, 13,983 and 6,391.44 is: 9,587.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.02 : 13,983 = 6,391.44 : x
  2. Step 2: Convert to fraction form
    9,322.02/13,983 = 6,391.44/x
  3. Step 3: Cross multiply
    9,322.02x = 13,983 × 6,391.44
  4. Step 4: Simplify right side
    9,322.02x = 89,371,505.52
  5. Step 5: Solve for x
    x = 89,371,505.52/9,322.02
  6. Step 6: Final answer
    x = 9,587.14

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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.