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Finding the Fourth Proportional to 9,218.94, 12,718.80 and 5,680.86

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Solution

The fourth proportional to 9,218.94, 12,718.80 and 5,680.86 is: 7,837.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218.94 : 12,718.80 = 5,680.86 : x
  2. Step 2: Convert to fraction form
    9,218.94/12,718.80 = 5,680.86/x
  3. Step 3: Cross multiply
    9,218.94x = 12,718.80 × 5,680.86
  4. Step 4: Simplify right side
    9,218.94x = 72,253,722.17
  5. Step 5: Solve for x
    x = 72,253,722.17/9,218.94
  6. Step 6: Final answer
    x = 7,837.53

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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.