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Finding the Fourth Proportional to 9,910.32, 13,676.70 and 5,930.70

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Solution

The fourth proportional to 9,910.32, 13,676.70 and 5,930.70 is: 8,184.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.32 : 13,676.70 = 5,930.70 : x
  2. Step 2: Convert to fraction form
    9,910.32/13,676.70 = 5,930.70/x
  3. Step 3: Cross multiply
    9,910.32x = 13,676.70 × 5,930.70
  4. Step 4: Simplify right side
    9,910.32x = 81,112,404.69
  5. Step 5: Solve for x
    x = 81,112,404.69/9,910.32
  6. Step 6: Final answer
    x = 8,184.64

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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.