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Finding the Fourth Proportional to 9,234.03, 12,731.85 and 6,403.86

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Solution

The fourth proportional to 9,234.03, 12,731.85 and 6,403.86 is: 8,829.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.03 : 12,731.85 = 6,403.86 : x
  2. Step 2: Convert to fraction form
    9,234.03/12,731.85 = 6,403.86/x
  3. Step 3: Cross multiply
    9,234.03x = 12,731.85 × 6,403.86
  4. Step 4: Simplify right side
    9,234.03x = 81,532,984.94
  5. Step 5: Solve for x
    x = 81,532,984.94/9,234.03
  6. Step 6: Final answer
    x = 8,829.62

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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.