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Finding the Fourth Proportional to 9,215.92, 12,718.22 and 5,681.44

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Solution

The fourth proportional to 9,215.92, 12,718.22 and 5,681.44 is: 7,840.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.92 : 12,718.22 = 5,681.44 : x
  2. Step 2: Convert to fraction form
    9,215.92/12,718.22 = 5,681.44/x
  3. Step 3: Cross multiply
    9,215.92x = 12,718.22 × 5,681.44
  4. Step 4: Simplify right side
    9,215.92x = 72,257,803.84
  5. Step 5: Solve for x
    x = 72,257,803.84/9,215.92
  6. Step 6: Final answer
    x = 7,840.54

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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.