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Finding the Fourth Proportional to 9,138.52, 12,604.41 and 6,306.76

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Solution

The fourth proportional to 9,138.52, 12,604.41 and 6,306.76 is: 8,698.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.52 : 12,604.41 = 6,306.76 : x
  2. Step 2: Convert to fraction form
    9,138.52/12,604.41 = 6,306.76/x
  3. Step 3: Cross multiply
    9,138.52x = 12,604.41 × 6,306.76
  4. Step 4: Simplify right side
    9,138.52x = 79,493,004.57
  5. Step 5: Solve for x
    x = 79,493,004.57/9,138.52
  6. Step 6: Final answer
    x = 8,698.67

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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.