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Finding the Fourth Proportional to 9,474.69, 14,193.87 and 5,302.08

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Solution

The fourth proportional to 9,474.69, 14,193.87 and 5,302.08 is: 7,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.69 : 14,193.87 = 5,302.08 : x
  2. Step 2: Convert to fraction form
    9,474.69/14,193.87 = 5,302.08/x
  3. Step 3: Cross multiply
    9,474.69x = 14,193.87 × 5,302.08
  4. Step 4: Simplify right side
    9,474.69x = 75,257,034.25
  5. Step 5: Solve for x
    x = 75,257,034.25/9,474.69
  6. Step 6: Final answer
    x = 7,942.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.