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Finding the Fourth Proportional to 9,116.63, 13,674.95 and 2,960.63

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Solution

The fourth proportional to 9,116.63, 13,674.95 and 2,960.63 is: 4,440.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.63 : 13,674.95 = 2,960.63 : x
  2. Step 2: Convert to fraction form
    9,116.63/13,674.95 = 2,960.63/x
  3. Step 3: Cross multiply
    9,116.63x = 13,674.95 × 2,960.63
  4. Step 4: Simplify right side
    9,116.63x = 40,486,384.04
  5. Step 5: Solve for x
    x = 40,486,384.04/9,116.63
  6. Step 6: Final answer
    x = 4,440.94

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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.