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Finding the Fourth Proportional to 9,216.50, 12,718.81 and 5,237.82

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Solution

The fourth proportional to 9,216.50, 12,718.81 and 5,237.82 is: 7,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.50 : 12,718.81 = 5,237.82 : x
  2. Step 2: Convert to fraction form
    9,216.50/12,718.81 = 5,237.82/x
  3. Step 3: Cross multiply
    9,216.50x = 12,718.81 × 5,237.82
  4. Step 4: Simplify right side
    9,216.50x = 66,618,837.39
  5. Step 5: Solve for x
    x = 66,618,837.39/9,216.50
  6. Step 6: Final answer
    x = 7,228.21

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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.