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Finding the Fourth Proportional to 9,578.52, 13,214.34 and 6,222.60

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Solution

The fourth proportional to 9,578.52, 13,214.34 and 6,222.60 is: 8,584.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.52 : 13,214.34 = 6,222.60 : x
  2. Step 2: Convert to fraction form
    9,578.52/13,214.34 = 6,222.60/x
  3. Step 3: Cross multiply
    9,578.52x = 13,214.34 × 6,222.60
  4. Step 4: Simplify right side
    9,578.52x = 82,227,552.08
  5. Step 5: Solve for x
    x = 82,227,552.08/9,578.52
  6. Step 6: Final answer
    x = 8,584.58

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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.