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Finding the Fourth Proportional to 9,730.44, 13,423.11 and 6,378.90

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Solution

The fourth proportional to 9,730.44, 13,423.11 and 6,378.90 is: 8,799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.44 : 13,423.11 = 6,378.90 : x
  2. Step 2: Convert to fraction form
    9,730.44/13,423.11 = 6,378.90/x
  3. Step 3: Cross multiply
    9,730.44x = 13,423.11 × 6,378.90
  4. Step 4: Simplify right side
    9,730.44x = 85,624,676.38
  5. Step 5: Solve for x
    x = 85,624,676.38/9,730.44
  6. Step 6: Final answer
    x = 8,799.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.