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Finding the Fourth Proportional to 9,216.69, 12,718.62 and 5,238.17

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Solution

The fourth proportional to 9,216.69, 12,718.62 and 5,238.17 is: 7,228.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.69 : 12,718.62 = 5,238.17 : x
  2. Step 2: Convert to fraction form
    9,216.69/12,718.62 = 5,238.17/x
  3. Step 3: Cross multiply
    9,216.69x = 12,718.62 × 5,238.17
  4. Step 4: Simplify right side
    9,216.69x = 66,622,277.83
  5. Step 5: Solve for x
    x = 66,622,277.83/9,216.69
  6. Step 6: Final answer
    x = 7,228.44

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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.