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Finding the Fourth Proportional to 9,714.24, 13,405.14 and 5,733.90

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Solution

The fourth proportional to 9,714.24, 13,405.14 and 5,733.90 is: 7,912.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.24 : 13,405.14 = 5,733.90 : x
  2. Step 2: Convert to fraction form
    9,714.24/13,405.14 = 5,733.90/x
  3. Step 3: Cross multiply
    9,714.24x = 13,405.14 × 5,733.90
  4. Step 4: Simplify right side
    9,714.24x = 76,863,732.25
  5. Step 5: Solve for x
    x = 76,863,732.25/9,714.24
  6. Step 6: Final answer
    x = 7,912.48

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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.