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Finding the Fourth Proportional to 9,661.36, 14,484.94 and 3,083.76

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Solution

The fourth proportional to 9,661.36, 14,484.94 and 3,083.76 is: 4,623.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.36 : 14,484.94 = 3,083.76 : x
  2. Step 2: Convert to fraction form
    9,661.36/14,484.94 = 3,083.76/x
  3. Step 3: Cross multiply
    9,661.36x = 14,484.94 × 3,083.76
  4. Step 4: Simplify right side
    9,661.36x = 44,668,078.57
  5. Step 5: Solve for x
    x = 44,668,078.57/9,661.36
  6. Step 6: Final answer
    x = 4,623.37

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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.