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Finding the Fourth Proportional to 9,661.37, 14,484.96 and 3,083.76

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Solution

The fourth proportional to 9,661.37, 14,484.96 and 3,083.76 is: 4,623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.37 : 14,484.96 = 3,083.76 : x
  2. Step 2: Convert to fraction form
    9,661.37/14,484.96 = 3,083.76/x
  3. Step 3: Cross multiply
    9,661.37x = 14,484.96 × 3,083.76
  4. Step 4: Simplify right side
    9,661.37x = 44,668,140.25
  5. Step 5: Solve for x
    x = 44,668,140.25/9,661.37
  6. Step 6: Final answer
    x = 4,623.38

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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.