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Finding the Fourth Proportional to 9,873.41, 14,811.53 and 3,207.71

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Solution

The fourth proportional to 9,873.41, 14,811.53 and 3,207.71 is: 4,812.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.41 : 14,811.53 = 3,207.71 : x
  2. Step 2: Convert to fraction form
    9,873.41/14,811.53 = 3,207.71/x
  3. Step 3: Cross multiply
    9,873.41x = 14,811.53 × 3,207.71
  4. Step 4: Simplify right side
    9,873.41x = 47,511,002.80
  5. Step 5: Solve for x
    x = 47,511,002.80/9,873.41
  6. Step 6: Final answer
    x = 4,812.02

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Why These Related Problems?

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