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Finding the Fourth Proportional to 8,965.40, 13,448.10 and 8,586.20

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Solution

The fourth proportional to 8,965.40, 13,448.10 and 8,586.20 is: 12,879.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.40 : 13,448.10 = 8,586.20 : x
  2. Step 2: Convert to fraction form
    8,965.40/13,448.10 = 8,586.20/x
  3. Step 3: Cross multiply
    8,965.40x = 13,448.10 × 8,586.20
  4. Step 4: Simplify right side
    8,965.40x = 115,468,076.22
  5. Step 5: Solve for x
    x = 115,468,076.22/8,965.40
  6. Step 6: Final answer
    x = 12,879.30

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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.