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Finding the Fourth Proportional to 9,230.94, 13,852.44 and 5,073.84

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Solution

The fourth proportional to 9,230.94, 13,852.44 and 5,073.84 is: 7,614.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.94 : 13,852.44 = 5,073.84 : x
  2. Step 2: Convert to fraction form
    9,230.94/13,852.44 = 5,073.84/x
  3. Step 3: Cross multiply
    9,230.94x = 13,852.44 × 5,073.84
  4. Step 4: Simplify right side
    9,230.94x = 70,285,064.17
  5. Step 5: Solve for x
    x = 70,285,064.17/9,230.94
  6. Step 6: Final answer
    x = 7,614.07

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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.