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Finding the Fourth Proportional to 6,954.98, 9,597.80 and 3,811.16

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Solution

The fourth proportional to 6,954.98, 9,597.80 and 3,811.16 is: 5,259.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.98 : 9,597.80 = 3,811.16 : x
  2. Step 2: Convert to fraction form
    6,954.98/9,597.80 = 3,811.16/x
  3. Step 3: Cross multiply
    6,954.98x = 9,597.80 × 3,811.16
  4. Step 4: Simplify right side
    6,954.98x = 36,578,756.39
  5. Step 5: Solve for x
    x = 36,578,756.39/6,954.98
  6. Step 6: Final answer
    x = 5,259.37

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