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Finding the Fourth Proportional to 8,946.87, 12,347.42 and 5,171.33

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Solution

The fourth proportional to 8,946.87, 12,347.42 and 5,171.33 is: 7,136.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.87 : 12,347.42 = 5,171.33 : x
  2. Step 2: Convert to fraction form
    8,946.87/12,347.42 = 5,171.33/x
  3. Step 3: Cross multiply
    8,946.87x = 12,347.42 × 5,171.33
  4. Step 4: Simplify right side
    8,946.87x = 63,852,495.87
  5. Step 5: Solve for x
    x = 63,852,495.87/8,946.87
  6. Step 6: Final answer
    x = 7,136.85

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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.