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Finding the Fourth Proportional to 9,771.40, 14,659.26 and 4,843.72

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Solution

The fourth proportional to 9,771.40, 14,659.26 and 4,843.72 is: 7,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.40 : 14,659.26 = 4,843.72 : x
  2. Step 2: Convert to fraction form
    9,771.40/14,659.26 = 4,843.72/x
  3. Step 3: Cross multiply
    9,771.40x = 14,659.26 × 4,843.72
  4. Step 4: Simplify right side
    9,771.40x = 71,005,350.85
  5. Step 5: Solve for x
    x = 71,005,350.85/9,771.40
  6. Step 6: Final answer
    x = 7,266.65

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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.