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Finding the Fourth Proportional to 7,144.06, 9,857.86 and 4,000.25

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Solution

The fourth proportional to 7,144.06, 9,857.86 and 4,000.25 is: 5,519.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.06 : 9,857.86 = 4,000.25 : x
  2. Step 2: Convert to fraction form
    7,144.06/9,857.86 = 4,000.25/x
  3. Step 3: Cross multiply
    7,144.06x = 9,857.86 × 4,000.25
  4. Step 4: Simplify right side
    7,144.06x = 39,433,904.47
  5. Step 5: Solve for x
    x = 39,433,904.47/7,144.06
  6. Step 6: Final answer
    x = 5,519.82

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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.