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Finding the Fourth Proportional to 8,509.40, 12,747.94 and 6,648.84

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Solution

The fourth proportional to 8,509.40, 12,747.94 and 6,648.84 is: 9,960.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.40 : 12,747.94 = 6,648.84 : x
  2. Step 2: Convert to fraction form
    8,509.40/12,747.94 = 6,648.84/x
  3. Step 3: Cross multiply
    8,509.40x = 12,747.94 × 6,648.84
  4. Step 4: Simplify right side
    8,509.40x = 84,759,013.39
  5. Step 5: Solve for x
    x = 84,759,013.39/8,509.40
  6. Step 6: Final answer
    x = 9,960.63

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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.