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Finding the Fourth Proportional to 8,970.14, 13,454.00 and 3,424.88

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Solution

The fourth proportional to 8,970.14, 13,454.00 and 3,424.88 is: 5,136.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.14 : 13,454.00 = 3,424.88 : x
  2. Step 2: Convert to fraction form
    8,970.14/13,454.00 = 3,424.88/x
  3. Step 3: Cross multiply
    8,970.14x = 13,454.00 × 3,424.88
  4. Step 4: Simplify right side
    8,970.14x = 46,078,364.87
  5. Step 5: Solve for x
    x = 46,078,364.87/8,970.14
  6. Step 6: Final answer
    x = 5,136.86

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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.