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Finding the Fourth Proportional to 7,143.06, 9,856.48 and 3,999.25

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Solution

The fourth proportional to 7,143.06, 9,856.48 and 3,999.25 is: 5,518.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.06 : 9,856.48 = 3,999.25 : x
  2. Step 2: Convert to fraction form
    7,143.06/9,856.48 = 3,999.25/x
  3. Step 3: Cross multiply
    7,143.06x = 9,856.48 × 3,999.25
  4. Step 4: Simplify right side
    7,143.06x = 39,418,527.64
  5. Step 5: Solve for x
    x = 39,418,527.64/7,143.06
  6. Step 6: Final answer
    x = 5,518.44

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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.