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Finding the Fourth Proportional to 9,566.00, 14,348.61 and 3,327.43

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Solution

The fourth proportional to 9,566.00, 14,348.61 and 3,327.43 is: 4,991.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.00 : 14,348.61 = 3,327.43 : x
  2. Step 2: Convert to fraction form
    9,566.00/14,348.61 = 3,327.43/x
  3. Step 3: Cross multiply
    9,566.00x = 14,348.61 × 3,327.43
  4. Step 4: Simplify right side
    9,566.00x = 47,743,959.50
  5. Step 5: Solve for x
    x = 47,743,959.50/9,566.00
  6. Step 6: Final answer
    x = 4,991.00

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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.