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Finding the Fourth Proportional to 9,846.72, 14,780.61 and 5,467.86

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Solution

The fourth proportional to 9,846.72, 14,780.61 and 5,467.86 is: 8,207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.72 : 14,780.61 = 5,467.86 : x
  2. Step 2: Convert to fraction form
    9,846.72/14,780.61 = 5,467.86/x
  3. Step 3: Cross multiply
    9,846.72x = 14,780.61 × 5,467.86
  4. Step 4: Simplify right side
    9,846.72x = 80,818,306.19
  5. Step 5: Solve for x
    x = 80,818,306.19/9,846.72
  6. Step 6: Final answer
    x = 8,207.64

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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.