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Finding the Fourth Proportional to 9,816.44, 13,545.68 and 6,039.84

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Solution

The fourth proportional to 9,816.44, 13,545.68 and 6,039.84 is: 8,334.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.44 : 13,545.68 = 6,039.84 : x
  2. Step 2: Convert to fraction form
    9,816.44/13,545.68 = 6,039.84/x
  3. Step 3: Cross multiply
    9,816.44x = 13,545.68 × 6,039.84
  4. Step 4: Simplify right side
    9,816.44x = 81,813,739.89
  5. Step 5: Solve for x
    x = 81,813,739.89/9,816.44
  6. Step 6: Final answer
    x = 8,334.36

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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.