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Finding the Fourth Proportional to 9,180.89, 12,671.46 and 5,827.70

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Solution

The fourth proportional to 9,180.89, 12,671.46 and 5,827.70 is: 8,043.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.89 : 12,671.46 = 5,827.70 : x
  2. Step 2: Convert to fraction form
    9,180.89/12,671.46 = 5,827.70/x
  3. Step 3: Cross multiply
    9,180.89x = 12,671.46 × 5,827.70
  4. Step 4: Simplify right side
    9,180.89x = 73,845,467.44
  5. Step 5: Solve for x
    x = 73,845,467.44/9,180.89
  6. Step 6: Final answer
    x = 8,043.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.