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Finding the Fourth Proportional to 9,636.86, 13,300.40 and 5,861.23

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Solution

The fourth proportional to 9,636.86, 13,300.40 and 5,861.23 is: 8,089.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.86 : 13,300.40 = 5,861.23 : x
  2. Step 2: Convert to fraction form
    9,636.86/13,300.40 = 5,861.23/x
  3. Step 3: Cross multiply
    9,636.86x = 13,300.40 × 5,861.23
  4. Step 4: Simplify right side
    9,636.86x = 77,956,703.49
  5. Step 5: Solve for x
    x = 77,956,703.49/9,636.86
  6. Step 6: Final answer
    x = 8,089.43

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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.