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Finding the Fourth Proportional to 9,781.43, 14,674.19 and 3,207.10

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Solution

The fourth proportional to 9,781.43, 14,674.19 and 3,207.10 is: 4,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.43 : 14,674.19 = 3,207.10 : x
  2. Step 2: Convert to fraction form
    9,781.43/14,674.19 = 3,207.10/x
  3. Step 3: Cross multiply
    9,781.43x = 14,674.19 × 3,207.10
  4. Step 4: Simplify right side
    9,781.43x = 47,061,594.75
  5. Step 5: Solve for x
    x = 47,061,594.75/9,781.43
  6. Step 6: Final answer
    x = 4,811.32

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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.