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Finding the Fourth Proportional to 9,284.69, 12,813.57 and 5,305.97

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Solution

The fourth proportional to 9,284.69, 12,813.57 and 5,305.97 is: 7,322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.69 : 12,813.57 = 5,305.97 : x
  2. Step 2: Convert to fraction form
    9,284.69/12,813.57 = 5,305.97/x
  3. Step 3: Cross multiply
    9,284.69x = 12,813.57 × 5,305.97
  4. Step 4: Simplify right side
    9,284.69x = 67,988,353.95
  5. Step 5: Solve for x
    x = 67,988,353.95/9,284.69
  6. Step 6: Final answer
    x = 7,322.63

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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.