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Finding the Fourth Proportional to 9,380.61, 14,072.13 and 3,137.94

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Solution

The fourth proportional to 9,380.61, 14,072.13 and 3,137.94 is: 4,707.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.61 : 14,072.13 = 3,137.94 : x
  2. Step 2: Convert to fraction form
    9,380.61/14,072.13 = 3,137.94/x
  3. Step 3: Cross multiply
    9,380.61x = 14,072.13 × 3,137.94
  4. Step 4: Simplify right side
    9,380.61x = 44,157,499.61
  5. Step 5: Solve for x
    x = 44,157,499.61/9,380.61
  6. Step 6: Final answer
    x = 4,707.32

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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.