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Finding the Fourth Proportional to 8,392, 12,636.96 and 6,216.16

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Solution

The fourth proportional to 8,392, 12,636.96 and 6,216.16 is: 9,360.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,392 : 12,636.96 = 6,216.16 : x
  2. Step 2: Convert to fraction form
    8,392/12,636.96 = 6,216.16/x
  3. Step 3: Cross multiply
    8,392x = 12,636.96 × 6,216.16
  4. Step 4: Simplify right side
    8,392x = 78,553,365.27
  5. Step 5: Solve for x
    x = 78,553,365.27/8,392
  6. Step 6: Final answer
    x = 9,360.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.