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Finding the Fourth Proportional to 8,969.22, 12,378.62 and 5,432.42

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Solution

The fourth proportional to 8,969.22, 12,378.62 and 5,432.42 is: 7,497.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.22 : 12,378.62 = 5,432.42 : x
  2. Step 2: Convert to fraction form
    8,969.22/12,378.62 = 5,432.42/x
  3. Step 3: Cross multiply
    8,969.22x = 12,378.62 × 5,432.42
  4. Step 4: Simplify right side
    8,969.22x = 67,245,907.39
  5. Step 5: Solve for x
    x = 67,245,907.39/8,969.22
  6. Step 6: Final answer
    x = 7,497.41

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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.