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Finding the Fourth Proportional to 9,211.80, 13,823.88 and 3,369

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Solution

The fourth proportional to 9,211.80, 13,823.88 and 3,369 is: 5,055.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.80 : 13,823.88 = 3,369 : x
  2. Step 2: Convert to fraction form
    9,211.80/13,823.88 = 3,369/x
  3. Step 3: Cross multiply
    9,211.80x = 13,823.88 × 3,369
  4. Step 4: Simplify right side
    9,211.80x = 46,572,651.72
  5. Step 5: Solve for x
    x = 46,572,651.72/9,211.80
  6. Step 6: Final answer
    x = 5,055.76

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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.