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Finding the Fourth Proportional to 9,663.86, 13,336.13 and 5,887.03

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Solution

The fourth proportional to 9,663.86, 13,336.13 and 5,887.03 is: 8,124.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.86 : 13,336.13 = 5,887.03 : x
  2. Step 2: Convert to fraction form
    9,663.86/13,336.13 = 5,887.03/x
  3. Step 3: Cross multiply
    9,663.86x = 13,336.13 × 5,887.03
  4. Step 4: Simplify right side
    9,663.86x = 78,510,192.27
  5. Step 5: Solve for x
    x = 78,510,192.27/9,663.86
  6. Step 6: Final answer
    x = 8,124.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.