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Finding the Fourth Proportional to 9,362.46, 14,031.90 and 8,189.67

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Solution

The fourth proportional to 9,362.46, 14,031.90 and 8,189.67 is: 12,274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.46 : 14,031.90 = 8,189.67 : x
  2. Step 2: Convert to fraction form
    9,362.46/14,031.90 = 8,189.67/x
  3. Step 3: Cross multiply
    9,362.46x = 14,031.90 × 8,189.67
  4. Step 4: Simplify right side
    9,362.46x = 114,916,630.47
  5. Step 5: Solve for x
    x = 114,916,630.47/9,362.46
  6. Step 6: Final answer
    x = 12,274.19

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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.