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Finding the Fourth Proportional to 9,788.94, 14,684.64 and 3,213.36

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Solution

The fourth proportional to 9,788.94, 14,684.64 and 3,213.36 is: 4,820.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.94 : 14,684.64 = 3,213.36 : x
  2. Step 2: Convert to fraction form
    9,788.94/14,684.64 = 3,213.36/x
  3. Step 3: Cross multiply
    9,788.94x = 14,684.64 × 3,213.36
  4. Step 4: Simplify right side
    9,788.94x = 47,187,034.79
  5. Step 5: Solve for x
    x = 47,187,034.79/9,788.94
  6. Step 6: Final answer
    x = 4,820.44

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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.