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Finding the Fourth Proportional to 9,609.84, 14,334.03 and 8,723.97

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Solution

The fourth proportional to 9,609.84, 14,334.03 and 8,723.97 is: 13,012.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.84 : 14,334.03 = 8,723.97 : x
  2. Step 2: Convert to fraction form
    9,609.84/14,334.03 = 8,723.97/x
  3. Step 3: Cross multiply
    9,609.84x = 14,334.03 × 8,723.97
  4. Step 4: Simplify right side
    9,609.84x = 125,049,647.70
  5. Step 5: Solve for x
    x = 125,049,647.70/9,609.84
  6. Step 6: Final answer
    x = 13,012.67

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1.5x scale

Why These Related Problems?

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