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Finding the Fourth Proportional to 6,954.83, 9,597.90 and 3,811.01

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Solution

The fourth proportional to 6,954.83, 9,597.90 and 3,811.01 is: 5,259.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.83 : 9,597.90 = 3,811.01 : x
  2. Step 2: Convert to fraction form
    6,954.83/9,597.90 = 3,811.01/x
  3. Step 3: Cross multiply
    6,954.83x = 9,597.90 × 3,811.01
  4. Step 4: Simplify right side
    6,954.83x = 36,577,644.89
  5. Step 5: Solve for x
    x = 36,577,644.89/6,954.83
  6. Step 6: Final answer
    x = 5,259.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.