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Finding the Fourth Proportional to 9,904.24, 14,855.62 and 3,661.33

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Solution

The fourth proportional to 9,904.24, 14,855.62 and 3,661.33 is: 5,491.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.24 : 14,855.62 = 3,661.33 : x
  2. Step 2: Convert to fraction form
    9,904.24/14,855.62 = 3,661.33/x
  3. Step 3: Cross multiply
    9,904.24x = 14,855.62 × 3,661.33
  4. Step 4: Simplify right side
    9,904.24x = 54,391,315.60
  5. Step 5: Solve for x
    x = 54,391,315.60/9,904.24
  6. Step 6: Final answer
    x = 5,491.72

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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.