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Finding the Fourth Proportional to 9,381.85, 14,072.76 and 3,762.05

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Solution

The fourth proportional to 9,381.85, 14,072.76 and 3,762.05 is: 5,643.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.85 : 14,072.76 = 3,762.05 : x
  2. Step 2: Convert to fraction form
    9,381.85/14,072.76 = 3,762.05/x
  3. Step 3: Cross multiply
    9,381.85x = 14,072.76 × 3,762.05
  4. Step 4: Simplify right side
    9,381.85x = 52,942,485.71
  5. Step 5: Solve for x
    x = 52,942,485.71/9,381.85
  6. Step 6: Final answer
    x = 5,643.08

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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.