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Finding the Fourth Proportional to 9,833.05, 13,568.95 and 6,056.43

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Solution

The fourth proportional to 9,833.05, 13,568.95 and 6,056.43 is: 8,357.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.05 : 13,568.95 = 6,056.43 : x
  2. Step 2: Convert to fraction form
    9,833.05/13,568.95 = 6,056.43/x
  3. Step 3: Cross multiply
    9,833.05x = 13,568.95 × 6,056.43
  4. Step 4: Simplify right side
    9,833.05x = 82,179,395.85
  5. Step 5: Solve for x
    x = 82,179,395.85/9,833.05
  6. Step 6: Final answer
    x = 8,357.47

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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.