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Finding the Fourth Proportional to 9,084.69, 13,624.47 and 2,509.38

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Solution

The fourth proportional to 9,084.69, 13,624.47 and 2,509.38 is: 3,763.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084.69 : 13,624.47 = 2,509.38 : x
  2. Step 2: Convert to fraction form
    9,084.69/13,624.47 = 2,509.38/x
  3. Step 3: Cross multiply
    9,084.69x = 13,624.47 × 2,509.38
  4. Step 4: Simplify right side
    9,084.69x = 34,188,972.53
  5. Step 5: Solve for x
    x = 34,188,972.53/9,084.69
  6. Step 6: Final answer
    x = 3,763.36

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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.