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Finding the Fourth Proportional to 9,261.84, 13,891.64 and 3,714.96

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Solution

The fourth proportional to 9,261.84, 13,891.64 and 3,714.96 is: 5,571.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.84 : 13,891.64 = 3,714.96 : x
  2. Step 2: Convert to fraction form
    9,261.84/13,891.64 = 3,714.96/x
  3. Step 3: Cross multiply
    9,261.84x = 13,891.64 × 3,714.96
  4. Step 4: Simplify right side
    9,261.84x = 51,606,886.93
  5. Step 5: Solve for x
    x = 51,606,886.93/9,261.84
  6. Step 6: Final answer
    x = 5,571.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.