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Finding the Fourth Proportional to 9,883.58, 14,823.05 and 2,861.71

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Solution

The fourth proportional to 9,883.58, 14,823.05 and 2,861.71 is: 4,291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.58 : 14,823.05 = 2,861.71 : x
  2. Step 2: Convert to fraction form
    9,883.58/14,823.05 = 2,861.71/x
  3. Step 3: Cross multiply
    9,883.58x = 14,823.05 × 2,861.71
  4. Step 4: Simplify right side
    9,883.58x = 42,419,318.53
  5. Step 5: Solve for x
    x = 42,419,318.53/9,883.58
  6. Step 6: Final answer
    x = 4,291.90

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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.