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Finding the Fourth Proportional to 9,772.01, 14,661.12 and 3,196.70

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Solution

The fourth proportional to 9,772.01, 14,661.12 and 3,196.70 is: 4,796.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.01 : 14,661.12 = 3,196.70 : x
  2. Step 2: Convert to fraction form
    9,772.01/14,661.12 = 3,196.70/x
  3. Step 3: Cross multiply
    9,772.01x = 14,661.12 × 3,196.70
  4. Step 4: Simplify right side
    9,772.01x = 46,867,202.30
  5. Step 5: Solve for x
    x = 46,867,202.30/9,772.01
  6. Step 6: Final answer
    x = 4,796.07

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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.