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Finding the Fourth Proportional to 8,947.81, 12,347.73 and 4,968.82

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Solution

The fourth proportional to 8,947.81, 12,347.73 and 4,968.82 is: 6,856.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.81 : 12,347.73 = 4,968.82 : x
  2. Step 2: Convert to fraction form
    8,947.81/12,347.73 = 4,968.82/x
  3. Step 3: Cross multiply
    8,947.81x = 12,347.73 × 4,968.82
  4. Step 4: Simplify right side
    8,947.81x = 61,353,616.91
  5. Step 5: Solve for x
    x = 61,353,616.91/8,947.81
  6. Step 6: Final answer
    x = 6,856.83

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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.