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Finding the Fourth Proportional to 9,793.14, 14,653.32 and 5,846.52

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Solution

The fourth proportional to 9,793.14, 14,653.32 and 5,846.52 is: 8,748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.14 : 14,653.32 = 5,846.52 : x
  2. Step 2: Convert to fraction form
    9,793.14/14,653.32 = 5,846.52/x
  3. Step 3: Cross multiply
    9,793.14x = 14,653.32 × 5,846.52
  4. Step 4: Simplify right side
    9,793.14x = 85,670,928.45
  5. Step 5: Solve for x
    x = 85,670,928.45/9,793.14
  6. Step 6: Final answer
    x = 8,748.06

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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.