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Finding the Fourth Proportional to 9,569.94, 13,206.82 and 5,793.80

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Solution

The fourth proportional to 9,569.94, 13,206.82 and 5,793.80 is: 7,995.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.94 : 13,206.82 = 5,793.80 : x
  2. Step 2: Convert to fraction form
    9,569.94/13,206.82 = 5,793.80/x
  3. Step 3: Cross multiply
    9,569.94x = 13,206.82 × 5,793.80
  4. Step 4: Simplify right side
    9,569.94x = 76,517,673.72
  5. Step 5: Solve for x
    x = 76,517,673.72/9,569.94
  6. Step 6: Final answer
    x = 7,995.63

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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.