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Finding the Fourth Proportional to 8,976.42, 12,385.98 and 5,200.20

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Solution

The fourth proportional to 8,976.42, 12,385.98 and 5,200.20 is: 7,175.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,976.42 : 12,385.98 = 5,200.20 : x
  2. Step 2: Convert to fraction form
    8,976.42/12,385.98 = 5,200.20/x
  3. Step 3: Cross multiply
    8,976.42x = 12,385.98 × 5,200.20
  4. Step 4: Simplify right side
    8,976.42x = 64,409,573.20
  5. Step 5: Solve for x
    x = 64,409,573.20/8,976.42
  6. Step 6: Final answer
    x = 7,175.42

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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.