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Finding the Fourth Proportional to 13,734.37, 18,969.02 and 9,250.35

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Solution

The fourth proportional to 13,734.37, 18,969.02 and 9,250.35 is: 12,775.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734.37 : 18,969.02 = 9,250.35 : x
  2. Step 2: Convert to fraction form
    13,734.37/18,969.02 = 9,250.35/x
  3. Step 3: Cross multiply
    13,734.37x = 18,969.02 × 9,250.35
  4. Step 4: Simplify right side
    13,734.37x = 175,470,074.16
  5. Step 5: Solve for x
    x = 175,470,074.16/13,734.37
  6. Step 6: Final answer
    x = 12,775.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.