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Finding the Fourth Proportional to 8,625.86, 12,957.21 and 6,176.42

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Solution

The fourth proportional to 8,625.86, 12,957.21 and 6,176.42 is: 9,277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,625.86 : 12,957.21 = 6,176.42 : x
  2. Step 2: Convert to fraction form
    8,625.86/12,957.21 = 6,176.42/x
  3. Step 3: Cross multiply
    8,625.86x = 12,957.21 × 6,176.42
  4. Step 4: Simplify right side
    8,625.86x = 80,029,106.20
  5. Step 5: Solve for x
    x = 80,029,106.20/8,625.86
  6. Step 6: Final answer
    x = 9,277.82

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