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Finding the Fourth Proportional to 9,125.60, 13,689.74 and 2,884.19

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Solution

The fourth proportional to 9,125.60, 13,689.74 and 2,884.19 is: 4,326.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.60 : 13,689.74 = 2,884.19 : x
  2. Step 2: Convert to fraction form
    9,125.60/13,689.74 = 2,884.19/x
  3. Step 3: Cross multiply
    9,125.60x = 13,689.74 × 2,884.19
  4. Step 4: Simplify right side
    9,125.60x = 39,483,826.98
  5. Step 5: Solve for x
    x = 39,483,826.98/9,125.60
  6. Step 6: Final answer
    x = 4,326.71

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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.