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Finding the Fourth Proportional to 9,194.14, 12,693.93 and 6,370.18

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Solution

The fourth proportional to 9,194.14, 12,693.93 and 6,370.18 is: 8,795.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.14 : 12,693.93 = 6,370.18 : x
  2. Step 2: Convert to fraction form
    9,194.14/12,693.93 = 6,370.18/x
  3. Step 3: Cross multiply
    9,194.14x = 12,693.93 × 6,370.18
  4. Step 4: Simplify right side
    9,194.14x = 80,862,619.01
  5. Step 5: Solve for x
    x = 80,862,619.01/9,194.14
  6. Step 6: Final answer
    x = 8,795.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.