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Finding the Fourth Proportional to 9,184.67, 13,777.91 and 2,943.11

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Solution

The fourth proportional to 9,184.67, 13,777.91 and 2,943.11 is: 4,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.67 : 13,777.91 = 2,943.11 : x
  2. Step 2: Convert to fraction form
    9,184.67/13,777.91 = 2,943.11/x
  3. Step 3: Cross multiply
    9,184.67x = 13,777.91 × 2,943.11
  4. Step 4: Simplify right side
    9,184.67x = 40,549,946.50
  5. Step 5: Solve for x
    x = 40,549,946.50/9,184.67
  6. Step 6: Final answer
    x = 4,414.96

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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.