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Finding the Fourth Proportional to 9,663.81, 14,499.86 and 4,119.77

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Solution

The fourth proportional to 9,663.81, 14,499.86 and 4,119.77 is: 6,181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.81 : 14,499.86 = 4,119.77 : x
  2. Step 2: Convert to fraction form
    9,663.81/14,499.86 = 4,119.77/x
  3. Step 3: Cross multiply
    9,663.81x = 14,499.86 × 4,119.77
  4. Step 4: Simplify right side
    9,663.81x = 59,735,995.13
  5. Step 5: Solve for x
    x = 59,735,995.13/9,663.81
  6. Step 6: Final answer
    x = 6,181.41

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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.