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Finding the Fourth Proportional to 9,785, 14,674.42 and 3,209.66

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Solution

The fourth proportional to 9,785, 14,674.42 and 3,209.66 is: 4,813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785 : 14,674.42 = 3,209.66 : x
  2. Step 2: Convert to fraction form
    9,785/14,674.42 = 3,209.66/x
  3. Step 3: Cross multiply
    9,785x = 14,674.42 × 3,209.66
  4. Step 4: Simplify right side
    9,785x = 47,099,825.53
  5. Step 5: Solve for x
    x = 47,099,825.53/9,785
  6. Step 6: Final answer
    x = 4,813.47

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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.