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Finding the Fourth Proportional to 9,846.69, 14,765.10 and 3,270.57

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Solution

The fourth proportional to 9,846.69, 14,765.10 and 3,270.57 is: 4,904.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.69 : 14,765.10 = 3,270.57 : x
  2. Step 2: Convert to fraction form
    9,846.69/14,765.10 = 3,270.57/x
  3. Step 3: Cross multiply
    9,846.69x = 14,765.10 × 3,270.57
  4. Step 4: Simplify right side
    9,846.69x = 48,290,293.11
  5. Step 5: Solve for x
    x = 48,290,293.11/9,846.69
  6. Step 6: Final answer
    x = 4,904.22

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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.