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Finding the Fourth Proportional to 9,193.15, 13,793.10 and 4,811.86

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Solution

The fourth proportional to 9,193.15, 13,793.10 and 4,811.86 is: 7,219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.15 : 13,793.10 = 4,811.86 : x
  2. Step 2: Convert to fraction form
    9,193.15/13,793.10 = 4,811.86/x
  3. Step 3: Cross multiply
    9,193.15x = 13,793.10 × 4,811.86
  4. Step 4: Simplify right side
    9,193.15x = 66,370,466.17
  5. Step 5: Solve for x
    x = 66,370,466.17/9,193.15
  6. Step 6: Final answer
    x = 7,219.56

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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.