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Finding the Fourth Proportional to 9,328.30, 13,924.20 and 8,221.16

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Solution

The fourth proportional to 9,328.30, 13,924.20 and 8,221.16 is: 12,271.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,328.30 : 13,924.20 = 8,221.16 : x
  2. Step 2: Convert to fraction form
    9,328.30/13,924.20 = 8,221.16/x
  3. Step 3: Cross multiply
    9,328.30x = 13,924.20 × 8,221.16
  4. Step 4: Simplify right side
    9,328.30x = 114,473,034.97
  5. Step 5: Solve for x
    x = 114,473,034.97/9,328.30
  6. Step 6: Final answer
    x = 12,271.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.