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Finding the Fourth Proportional to 9,783.69, 13,503.22 and 5,807

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Solution

The fourth proportional to 9,783.69, 13,503.22 and 5,807 is: 8,014.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.69 : 13,503.22 = 5,807 : x
  2. Step 2: Convert to fraction form
    9,783.69/13,503.22 = 5,807/x
  3. Step 3: Cross multiply
    9,783.69x = 13,503.22 × 5,807
  4. Step 4: Simplify right side
    9,783.69x = 78,413,198.54
  5. Step 5: Solve for x
    x = 78,413,198.54/9,783.69
  6. Step 6: Final answer
    x = 8,014.69

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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.