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Finding the Fourth Proportional to 9,782.62, 14,673.42 and 3,207.94

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Solution

The fourth proportional to 9,782.62, 14,673.42 and 3,207.94 is: 4,811.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.62 : 14,673.42 = 3,207.94 : x
  2. Step 2: Convert to fraction form
    9,782.62/14,673.42 = 3,207.94/x
  3. Step 3: Cross multiply
    9,782.62x = 14,673.42 × 3,207.94
  4. Step 4: Simplify right side
    9,782.62x = 47,071,450.95
  5. Step 5: Solve for x
    x = 47,071,450.95/9,782.62
  6. Step 6: Final answer
    x = 4,811.74

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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.