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Finding the Fourth Proportional to 9,677.38, 14,503.92 and 5,234.86

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Solution

The fourth proportional to 9,677.38, 14,503.92 and 5,234.86 is: 7,845.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.38 : 14,503.92 = 5,234.86 : x
  2. Step 2: Convert to fraction form
    9,677.38/14,503.92 = 5,234.86/x
  3. Step 3: Cross multiply
    9,677.38x = 14,503.92 × 5,234.86
  4. Step 4: Simplify right side
    9,677.38x = 75,925,990.65
  5. Step 5: Solve for x
    x = 75,925,990.65/9,677.38
  6. Step 6: Final answer
    x = 7,845.72

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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.