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Finding the Fourth Proportional to 9,124.41, 13,687.26 and 2,884.71

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Solution

The fourth proportional to 9,124.41, 13,687.26 and 2,884.71 is: 4,327.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.41 : 13,687.26 = 2,884.71 : x
  2. Step 2: Convert to fraction form
    9,124.41/13,687.26 = 2,884.71/x
  3. Step 3: Cross multiply
    9,124.41x = 13,687.26 × 2,884.71
  4. Step 4: Simplify right side
    9,124.41x = 39,483,775.79
  5. Step 5: Solve for x
    x = 39,483,775.79/9,124.41
  6. Step 6: Final answer
    x = 4,327.27

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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.