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Finding the Fourth Proportional to 9,770.66, 14,657.81 and 3,197.21

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Solution

The fourth proportional to 9,770.66, 14,657.81 and 3,197.21 is: 4,796.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.66 : 14,657.81 = 3,197.21 : x
  2. Step 2: Convert to fraction form
    9,770.66/14,657.81 = 3,197.21/x
  3. Step 3: Cross multiply
    9,770.66x = 14,657.81 × 3,197.21
  4. Step 4: Simplify right side
    9,770.66x = 46,864,025.42
  5. Step 5: Solve for x
    x = 46,864,025.42/9,770.66
  6. Step 6: Final answer
    x = 4,796.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.