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Finding the Fourth Proportional to 9,840.50, 13,579.89 and 5,424.50

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Solution

The fourth proportional to 9,840.50, 13,579.89 and 5,424.50 is: 7,485.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.50 : 13,579.89 = 5,424.50 : x
  2. Step 2: Convert to fraction form
    9,840.50/13,579.89 = 5,424.50/x
  3. Step 3: Cross multiply
    9,840.50x = 13,579.89 × 5,424.50
  4. Step 4: Simplify right side
    9,840.50x = 73,664,113.31
  5. Step 5: Solve for x
    x = 73,664,113.31/9,840.50
  6. Step 6: Final answer
    x = 7,485.81

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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.