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Finding the Fourth Proportional to 9,782.71, 14,676.78 and 3,213.52

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Solution

The fourth proportional to 9,782.71, 14,676.78 and 3,213.52 is: 4,821.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.71 : 14,676.78 = 3,213.52 : x
  2. Step 2: Convert to fraction form
    9,782.71/14,676.78 = 3,213.52/x
  3. Step 3: Cross multiply
    9,782.71x = 14,676.78 × 3,213.52
  4. Step 4: Simplify right side
    9,782.71x = 47,164,126.07
  5. Step 5: Solve for x
    x = 47,164,126.07/9,782.71
  6. Step 6: Final answer
    x = 4,821.17

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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.