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Finding the Fourth Proportional to 9,694.88, 13,376.85 and 5,714.54

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Solution

The fourth proportional to 9,694.88, 13,376.85 and 5,714.54 is: 7,884.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.88 : 13,376.85 = 5,714.54 : x
  2. Step 2: Convert to fraction form
    9,694.88/13,376.85 = 5,714.54/x
  3. Step 3: Cross multiply
    9,694.88x = 13,376.85 × 5,714.54
  4. Step 4: Simplify right side
    9,694.88x = 76,442,477.51
  5. Step 5: Solve for x
    x = 76,442,477.51/9,694.88
  6. Step 6: Final answer
    x = 7,884.83

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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.