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Finding the Fourth Proportional to 9,325.98, 13,982.94 and 4,945.50

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Solution

The fourth proportional to 9,325.98, 13,982.94 and 4,945.50 is: 7,415.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,325.98 : 13,982.94 = 4,945.50 : x
  2. Step 2: Convert to fraction form
    9,325.98/13,982.94 = 4,945.50/x
  3. Step 3: Cross multiply
    9,325.98x = 13,982.94 × 4,945.50
  4. Step 4: Simplify right side
    9,325.98x = 69,152,629.77
  5. Step 5: Solve for x
    x = 69,152,629.77/9,325.98
  6. Step 6: Final answer
    x = 7,415.05

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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.