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Finding the Fourth Proportional to 9,591.75, 14,394.15 and 3,435.75

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Solution

The fourth proportional to 9,591.75, 14,394.15 and 3,435.75 is: 5,155.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.75 : 14,394.15 = 3,435.75 : x
  2. Step 2: Convert to fraction form
    9,591.75/14,394.15 = 3,435.75/x
  3. Step 3: Cross multiply
    9,591.75x = 14,394.15 × 3,435.75
  4. Step 4: Simplify right side
    9,591.75x = 49,454,700.86
  5. Step 5: Solve for x
    x = 49,454,700.86/9,591.75
  6. Step 6: Final answer
    x = 5,155.96

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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.