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Finding the Fourth Proportional to 8,405.73, 12,596.85 and 6,323.31

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Solution

The fourth proportional to 8,405.73, 12,596.85 and 6,323.31 is: 9,476.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.73 : 12,596.85 = 6,323.31 : x
  2. Step 2: Convert to fraction form
    8,405.73/12,596.85 = 6,323.31/x
  3. Step 3: Cross multiply
    8,405.73x = 12,596.85 × 6,323.31
  4. Step 4: Simplify right side
    8,405.73x = 79,653,787.57
  5. Step 5: Solve for x
    x = 79,653,787.57/8,405.73
  6. Step 6: Final answer
    x = 9,476.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.