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Finding the Fourth Proportional to 9,884.07, 13,640.62 and 5,693.67

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Solution

The fourth proportional to 9,884.07, 13,640.62 and 5,693.67 is: 7,857.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.07 : 13,640.62 = 5,693.67 : x
  2. Step 2: Convert to fraction form
    9,884.07/13,640.62 = 5,693.67/x
  3. Step 3: Cross multiply
    9,884.07x = 13,640.62 × 5,693.67
  4. Step 4: Simplify right side
    9,884.07x = 77,665,188.88
  5. Step 5: Solve for x
    x = 77,665,188.88/9,884.07
  6. Step 6: Final answer
    x = 7,857.61

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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.