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Finding the Fourth Proportional to 9,191.46, 13,783.23 and 2,949.41

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Solution

The fourth proportional to 9,191.46, 13,783.23 and 2,949.41 is: 4,422.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.46 : 13,783.23 = 2,949.41 : x
  2. Step 2: Convert to fraction form
    9,191.46/13,783.23 = 2,949.41/x
  3. Step 3: Cross multiply
    9,191.46x = 13,783.23 × 2,949.41
  4. Step 4: Simplify right side
    9,191.46x = 40,652,327.48
  5. Step 5: Solve for x
    x = 40,652,327.48/9,191.46
  6. Step 6: Final answer
    x = 4,422.84

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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.