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Finding the Fourth Proportional to 9,981.68, 14,969.96 and 2,960.05

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Solution

The fourth proportional to 9,981.68, 14,969.96 and 2,960.05 is: 4,439.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.68 : 14,969.96 = 2,960.05 : x
  2. Step 2: Convert to fraction form
    9,981.68/14,969.96 = 2,960.05/x
  3. Step 3: Cross multiply
    9,981.68x = 14,969.96 × 2,960.05
  4. Step 4: Simplify right side
    9,981.68x = 44,311,830.10
  5. Step 5: Solve for x
    x = 44,311,830.10/9,981.68
  6. Step 6: Final answer
    x = 4,439.32

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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.