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Finding the Fourth Proportional to 9,125.67, 13,694.40 and 3,282.15

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Solution

The fourth proportional to 9,125.67, 13,694.40 and 3,282.15 is: 4,925.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.67 : 13,694.40 = 3,282.15 : x
  2. Step 2: Convert to fraction form
    9,125.67/13,694.40 = 3,282.15/x
  3. Step 3: Cross multiply
    9,125.67x = 13,694.40 × 3,282.15
  4. Step 4: Simplify right side
    9,125.67x = 44,947,074.96
  5. Step 5: Solve for x
    x = 44,947,074.96/9,125.67
  6. Step 6: Final answer
    x = 4,925.35

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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.