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Finding the Fourth Proportional to 9,791.36, 14,683.92 and 3,216.06

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Solution

The fourth proportional to 9,791.36, 14,683.92 and 3,216.06 is: 4,823.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.36 : 14,683.92 = 3,216.06 : x
  2. Step 2: Convert to fraction form
    9,791.36/14,683.92 = 3,216.06/x
  3. Step 3: Cross multiply
    9,791.36x = 14,683.92 × 3,216.06
  4. Step 4: Simplify right side
    9,791.36x = 47,224,367.76
  5. Step 5: Solve for x
    x = 47,224,367.76/9,791.36
  6. Step 6: Final answer
    x = 4,823.07

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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.