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Finding the Fourth Proportional to 9,216.08, 12,718.19 and 5,237.20

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Solution

The fourth proportional to 9,216.08, 12,718.19 and 5,237.20 is: 7,227.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.08 : 12,718.19 = 5,237.20 : x
  2. Step 2: Convert to fraction form
    9,216.08/12,718.19 = 5,237.20/x
  3. Step 3: Cross multiply
    9,216.08x = 12,718.19 × 5,237.20
  4. Step 4: Simplify right side
    9,216.08x = 66,607,704.67
  5. Step 5: Solve for x
    x = 66,607,704.67/9,216.08
  6. Step 6: Final answer
    x = 7,227.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.