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Finding the Fourth Proportional to 9,482.70, 14,225.75 and 3,936.50

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Solution

The fourth proportional to 9,482.70, 14,225.75 and 3,936.50 is: 5,905.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.70 : 14,225.75 = 3,936.50 : x
  2. Step 2: Convert to fraction form
    9,482.70/14,225.75 = 3,936.50/x
  3. Step 3: Cross multiply
    9,482.70x = 14,225.75 × 3,936.50
  4. Step 4: Simplify right side
    9,482.70x = 55,999,664.88
  5. Step 5: Solve for x
    x = 55,999,664.88/9,482.70
  6. Step 6: Final answer
    x = 5,905.46

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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.