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Finding the Fourth Proportional to 8,970.28, 12,377.91 and 5,194.63

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Solution

The fourth proportional to 8,970.28, 12,377.91 and 5,194.63 is: 7,167.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.28 : 12,377.91 = 5,194.63 : x
  2. Step 2: Convert to fraction form
    8,970.28/12,377.91 = 5,194.63/x
  3. Step 3: Cross multiply
    8,970.28x = 12,377.91 × 5,194.63
  4. Step 4: Simplify right side
    8,970.28x = 64,298,662.62
  5. Step 5: Solve for x
    x = 64,298,662.62/8,970.28
  6. Step 6: Final answer
    x = 7,167.97

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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.