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Finding the Fourth Proportional to 6,212.89, 9,319.34 and 4,259.17

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Solution

The fourth proportional to 6,212.89, 9,319.34 and 4,259.17 is: 6,388.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.89 : 9,319.34 = 4,259.17 : x
  2. Step 2: Convert to fraction form
    6,212.89/9,319.34 = 4,259.17/x
  3. Step 3: Cross multiply
    6,212.89x = 9,319.34 × 4,259.17
  4. Step 4: Simplify right side
    6,212.89x = 39,692,653.35
  5. Step 5: Solve for x
    x = 39,692,653.35/6,212.89
  6. Step 6: Final answer
    x = 6,388.76

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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.