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Finding the Fourth Proportional to 8,747.72, 12,069.78 and 4,970.96

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Solution

The fourth proportional to 8,747.72, 12,069.78 and 4,970.96 is: 6,858.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,747.72 : 12,069.78 = 4,970.96 : x
  2. Step 2: Convert to fraction form
    8,747.72/12,069.78 = 4,970.96/x
  3. Step 3: Cross multiply
    8,747.72x = 12,069.78 × 4,970.96
  4. Step 4: Simplify right side
    8,747.72x = 59,998,393.59
  5. Step 5: Solve for x
    x = 59,998,393.59/8,747.72
  6. Step 6: Final answer
    x = 6,858.75

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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.