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Finding the Fourth Proportional to 9,940.64, 14,911.65 and 3,364.61

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Solution

The fourth proportional to 9,940.64, 14,911.65 and 3,364.61 is: 5,047.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.64 : 14,911.65 = 3,364.61 : x
  2. Step 2: Convert to fraction form
    9,940.64/14,911.65 = 3,364.61/x
  3. Step 3: Cross multiply
    9,940.64x = 14,911.65 × 3,364.61
  4. Step 4: Simplify right side
    9,940.64x = 50,171,812.15
  5. Step 5: Solve for x
    x = 50,171,812.15/9,940.64
  6. Step 6: Final answer
    x = 5,047.14

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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.