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Finding the Fourth Proportional to 9,913.83, 13,676.36 and 5,934.17

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Solution

The fourth proportional to 9,913.83, 13,676.36 and 5,934.17 is: 8,186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.83 : 13,676.36 = 5,934.17 : x
  2. Step 2: Convert to fraction form
    9,913.83/13,676.36 = 5,934.17/x
  3. Step 3: Cross multiply
    9,913.83x = 13,676.36 × 5,934.17
  4. Step 4: Simplify right side
    9,913.83x = 81,157,806.19
  5. Step 5: Solve for x
    x = 81,157,806.19/9,913.83
  6. Step 6: Final answer
    x = 8,186.33

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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.