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Finding the Fourth Proportional to 9,771.80, 14,658.72 and 2,846.32

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Solution

The fourth proportional to 9,771.80, 14,658.72 and 2,846.32 is: 4,269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.80 : 14,658.72 = 2,846.32 : x
  2. Step 2: Convert to fraction form
    9,771.80/14,658.72 = 2,846.32/x
  3. Step 3: Cross multiply
    9,771.80x = 14,658.72 × 2,846.32
  4. Step 4: Simplify right side
    9,771.80x = 41,723,407.91
  5. Step 5: Solve for x
    x = 41,723,407.91/9,771.80
  6. Step 6: Final answer
    x = 4,269.78

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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.