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Finding the Fourth Proportional to 9,194.60, 13,794.20 and 2,955.16

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Solution

The fourth proportional to 9,194.60, 13,794.20 and 2,955.16 is: 4,433.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.60 : 13,794.20 = 2,955.16 : x
  2. Step 2: Convert to fraction form
    9,194.60/13,794.20 = 2,955.16/x
  3. Step 3: Cross multiply
    9,194.60x = 13,794.20 × 2,955.16
  4. Step 4: Simplify right side
    9,194.60x = 40,764,068.07
  5. Step 5: Solve for x
    x = 40,764,068.07/9,194.60
  6. Step 6: Final answer
    x = 4,433.48

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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.