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Finding the Fourth Proportional to 9,771.42, 14,658.94 and 3,197.96

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Solution

The fourth proportional to 9,771.42, 14,658.94 and 3,197.96 is: 4,797.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.42 : 14,658.94 = 3,197.96 : x
  2. Step 2: Convert to fraction form
    9,771.42/14,658.94 = 3,197.96/x
  3. Step 3: Cross multiply
    9,771.42x = 14,658.94 × 3,197.96
  4. Step 4: Simplify right side
    9,771.42x = 46,878,703.76
  5. Step 5: Solve for x
    x = 46,878,703.76/9,771.42
  6. Step 6: Final answer
    x = 4,797.53

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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.