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Finding the Fourth Proportional to 9,517.58, 14,274.09 and 3,971.00

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Solution

The fourth proportional to 9,517.58, 14,274.09 and 3,971.00 is: 5,955.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.58 : 14,274.09 = 3,971.00 : x
  2. Step 2: Convert to fraction form
    9,517.58/14,274.09 = 3,971.00/x
  3. Step 3: Cross multiply
    9,517.58x = 14,274.09 × 3,971.00
  4. Step 4: Simplify right side
    9,517.58x = 56,682,447.08
  5. Step 5: Solve for x
    x = 56,682,447.08/9,517.58
  6. Step 6: Final answer
    x = 5,955.55

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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.