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Finding the Fourth Proportional to 9,194.67, 13,774.65 and 5,435.22

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Solution

The fourth proportional to 9,194.67, 13,774.65 and 5,435.22 is: 8,142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.67 : 13,774.65 = 5,435.22 : x
  2. Step 2: Convert to fraction form
    9,194.67/13,774.65 = 5,435.22/x
  3. Step 3: Cross multiply
    9,194.67x = 13,774.65 × 5,435.22
  4. Step 4: Simplify right side
    9,194.67x = 74,868,253.17
  5. Step 5: Solve for x
    x = 74,868,253.17/9,194.67
  6. Step 6: Final answer
    x = 8,142.57

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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.