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Finding the Fourth Proportional to 9,344.69, 12,880.63 and 6,822.80

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Solution

The fourth proportional to 9,344.69, 12,880.63 and 6,822.80 is: 9,404.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.69 : 12,880.63 = 6,822.80 : x
  2. Step 2: Convert to fraction form
    9,344.69/12,880.63 = 6,822.80/x
  3. Step 3: Cross multiply
    9,344.69x = 12,880.63 × 6,822.80
  4. Step 4: Simplify right side
    9,344.69x = 87,881,962.36
  5. Step 5: Solve for x
    x = 87,881,962.36/9,344.69
  6. Step 6: Final answer
    x = 9,404.48

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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.