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Finding the Fourth Proportional to 9,392.46, 14,076.90 and 8,219.68

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Solution

The fourth proportional to 9,392.46, 14,076.90 and 8,219.68 is: 12,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.46 : 14,076.90 = 8,219.68 : x
  2. Step 2: Convert to fraction form
    9,392.46/14,076.90 = 8,219.68/x
  3. Step 3: Cross multiply
    9,392.46x = 14,076.90 × 8,219.68
  4. Step 4: Simplify right side
    9,392.46x = 115,707,613.39
  5. Step 5: Solve for x
    x = 115,707,613.39/9,392.46
  6. Step 6: Final answer
    x = 12,319.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.