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Finding the Fourth Proportional to 9,340.89, 14,013 and 3,101.28

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Solution

The fourth proportional to 9,340.89, 14,013 and 3,101.28 is: 4,652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.89 : 14,013 = 3,101.28 : x
  2. Step 2: Convert to fraction form
    9,340.89/14,013 = 3,101.28/x
  3. Step 3: Cross multiply
    9,340.89x = 14,013 × 3,101.28
  4. Step 4: Simplify right side
    9,340.89x = 43,458,236.64
  5. Step 5: Solve for x
    x = 43,458,236.64/9,340.89
  6. Step 6: Final answer
    x = 4,652.47

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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.