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Finding the Fourth Proportional to 8,976.64, 12,389.82 and 5,827.36

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Solution

The fourth proportional to 8,976.64, 12,389.82 and 5,827.36 is: 8,043.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,976.64 : 12,389.82 = 5,827.36 : x
  2. Step 2: Convert to fraction form
    8,976.64/12,389.82 = 5,827.36/x
  3. Step 3: Cross multiply
    8,976.64x = 12,389.82 × 5,827.36
  4. Step 4: Simplify right side
    8,976.64x = 72,199,941.48
  5. Step 5: Solve for x
    x = 72,199,941.48/8,976.64
  6. Step 6: Final answer
    x = 8,043.09

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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.