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Finding the Fourth Proportional to 9,771.66, 14,655.96 and 3,197.70

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Solution

The fourth proportional to 9,771.66, 14,655.96 and 3,197.70 is: 4,796.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.66 : 14,655.96 = 3,197.70 : x
  2. Step 2: Convert to fraction form
    9,771.66/14,655.96 = 3,197.70/x
  3. Step 3: Cross multiply
    9,771.66x = 14,655.96 × 3,197.70
  4. Step 4: Simplify right side
    9,771.66x = 46,865,363.29
  5. Step 5: Solve for x
    x = 46,865,363.29/9,771.66
  6. Step 6: Final answer
    x = 4,796.05

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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.