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Finding the Fourth Proportional to 9,808.07, 14,713.92 and 3,234.71

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Solution

The fourth proportional to 9,808.07, 14,713.92 and 3,234.71 is: 4,852.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.07 : 14,713.92 = 3,234.71 : x
  2. Step 2: Convert to fraction form
    9,808.07/14,713.92 = 3,234.71/x
  3. Step 3: Cross multiply
    9,808.07x = 14,713.92 × 3,234.71
  4. Step 4: Simplify right side
    9,808.07x = 47,595,300.95
  5. Step 5: Solve for x
    x = 47,595,300.95/9,808.07
  6. Step 6: Final answer
    x = 4,852.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.