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Finding the Fourth Proportional to 10,317.47, 14,238.97 and 6,339.97

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Solution

The fourth proportional to 10,317.47, 14,238.97 and 6,339.97 is: 8,749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,317.47 : 14,238.97 = 6,339.97 : x
  2. Step 2: Convert to fraction form
    10,317.47/14,238.97 = 6,339.97/x
  3. Step 3: Cross multiply
    10,317.47x = 14,238.97 × 6,339.97
  4. Step 4: Simplify right side
    10,317.47x = 90,274,571.44
  5. Step 5: Solve for x
    x = 90,274,571.44/10,317.47
  6. Step 6: Final answer
    x = 8,749.68

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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.