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Finding the Fourth Proportional to 8,509.54, 12,747.30 and 6,651.40

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Solution

The fourth proportional to 8,509.54, 12,747.30 and 6,651.40 is: 9,963.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.54 : 12,747.30 = 6,651.40 : x
  2. Step 2: Convert to fraction form
    8,509.54/12,747.30 = 6,651.40/x
  3. Step 3: Cross multiply
    8,509.54x = 12,747.30 × 6,651.40
  4. Step 4: Simplify right side
    8,509.54x = 84,787,391.22
  5. Step 5: Solve for x
    x = 84,787,391.22/8,509.54
  6. Step 6: Final answer
    x = 9,963.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.