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Finding the Fourth Proportional to 9,125.75, 13,689.51 and 4,196.77

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Solution

The fourth proportional to 9,125.75, 13,689.51 and 4,196.77 is: 6,295.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.75 : 13,689.51 = 4,196.77 : x
  2. Step 2: Convert to fraction form
    9,125.75/13,689.51 = 4,196.77/x
  3. Step 3: Cross multiply
    9,125.75x = 13,689.51 × 4,196.77
  4. Step 4: Simplify right side
    9,125.75x = 57,451,635.45
  5. Step 5: Solve for x
    x = 57,451,635.45/9,125.75
  6. Step 6: Final answer
    x = 6,295.55

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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.