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Finding the Fourth Proportional to 9,284.31, 12,701.72 and 9,244.62

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Solution

The fourth proportional to 9,284.31, 12,701.72 and 9,244.62 is: 12,647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.31 : 12,701.72 = 9,244.62 : x
  2. Step 2: Convert to fraction form
    9,284.31/12,701.72 = 9,244.62/x
  3. Step 3: Cross multiply
    9,284.31x = 12,701.72 × 9,244.62
  4. Step 4: Simplify right side
    9,284.31x = 117,422,597.86
  5. Step 5: Solve for x
    x = 117,422,597.86/9,284.31
  6. Step 6: Final answer
    x = 12,647.42

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.