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Finding the Fourth Proportional to 6,171.94, 9,259.25 and 2,883.23

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Solution

The fourth proportional to 6,171.94, 9,259.25 and 2,883.23 is: 4,325.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.94 : 9,259.25 = 2,883.23 : x
  2. Step 2: Convert to fraction form
    6,171.94/9,259.25 = 2,883.23/x
  3. Step 3: Cross multiply
    6,171.94x = 9,259.25 × 2,883.23
  4. Step 4: Simplify right side
    6,171.94x = 26,696,486.67
  5. Step 5: Solve for x
    x = 26,696,486.67/6,171.94
  6. Step 6: Final answer
    x = 4,325.46

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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.