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Finding the Fourth Proportional to 9,241.50, 13,862.37 and 3,085.50

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Solution

The fourth proportional to 9,241.50, 13,862.37 and 3,085.50 is: 4,628.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.50 : 13,862.37 = 3,085.50 : x
  2. Step 2: Convert to fraction form
    9,241.50/13,862.37 = 3,085.50/x
  3. Step 3: Cross multiply
    9,241.50x = 13,862.37 × 3,085.50
  4. Step 4: Simplify right side
    9,241.50x = 42,772,342.64
  5. Step 5: Solve for x
    x = 42,772,342.64/9,241.50
  6. Step 6: Final answer
    x = 4,628.29

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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.