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Finding the Fourth Proportional to 9,696.95, 13,381.41 and 5,926.42

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Solution

The fourth proportional to 9,696.95, 13,381.41 and 5,926.42 is: 8,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.95 : 13,381.41 = 5,926.42 : x
  2. Step 2: Convert to fraction form
    9,696.95/13,381.41 = 5,926.42/x
  3. Step 3: Cross multiply
    9,696.95x = 13,381.41 × 5,926.42
  4. Step 4: Simplify right side
    9,696.95x = 79,303,855.85
  5. Step 5: Solve for x
    x = 79,303,855.85/9,696.95
  6. Step 6: Final answer
    x = 8,178.23

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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.