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Finding the Fourth Proportional to 9,391.62, 14,087.88 and 7,745.16

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Solution

The fourth proportional to 9,391.62, 14,087.88 and 7,745.16 is: 11,618.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.62 : 14,087.88 = 7,745.16 : x
  2. Step 2: Convert to fraction form
    9,391.62/14,087.88 = 7,745.16/x
  3. Step 3: Cross multiply
    9,391.62x = 14,087.88 × 7,745.16
  4. Step 4: Simplify right side
    9,391.62x = 109,112,884.66
  5. Step 5: Solve for x
    x = 109,112,884.66/9,391.62
  6. Step 6: Final answer
    x = 11,618.11

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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.