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Finding the Fourth Proportional to 9,194.10, 13,795.20 and 4,261.20

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Solution

The fourth proportional to 9,194.10, 13,795.20 and 4,261.20 is: 6,393.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.10 : 13,795.20 = 4,261.20 : x
  2. Step 2: Convert to fraction form
    9,194.10/13,795.20 = 4,261.20/x
  3. Step 3: Cross multiply
    9,194.10x = 13,795.20 × 4,261.20
  4. Step 4: Simplify right side
    9,194.10x = 58,784,106.24
  5. Step 5: Solve for x
    x = 58,784,106.24/9,194.10
  6. Step 6: Final answer
    x = 6,393.68

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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.