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Finding the Fourth Proportional to 8,970.20, 13,451.82 and 4,288.95

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Solution

The fourth proportional to 8,970.20, 13,451.82 and 4,288.95 is: 6,431.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.20 : 13,451.82 = 4,288.95 : x
  2. Step 2: Convert to fraction form
    8,970.20/13,451.82 = 4,288.95/x
  3. Step 3: Cross multiply
    8,970.20x = 13,451.82 × 4,288.95
  4. Step 4: Simplify right side
    8,970.20x = 57,694,241.33
  5. Step 5: Solve for x
    x = 57,694,241.33/8,970.20
  6. Step 6: Final answer
    x = 6,431.77

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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.