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Finding the Fourth Proportional to 8,969.72, 12,383.78 and 5,784.57

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Solution

The fourth proportional to 8,969.72, 12,383.78 and 5,784.57 is: 7,986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.72 : 12,383.78 = 5,784.57 : x
  2. Step 2: Convert to fraction form
    8,969.72/12,383.78 = 5,784.57/x
  3. Step 3: Cross multiply
    8,969.72x = 12,383.78 × 5,784.57
  4. Step 4: Simplify right side
    8,969.72x = 71,634,813.35
  5. Step 5: Solve for x
    x = 71,634,813.35/8,969.72
  6. Step 6: Final answer
    x = 7,986.30

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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.