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Finding the Fourth Proportional to 9,691.12, 14,534.52 and 3,846.16

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Solution

The fourth proportional to 9,691.12, 14,534.52 and 3,846.16 is: 5,768.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.12 : 14,534.52 = 3,846.16 : x
  2. Step 2: Convert to fraction form
    9,691.12/14,534.52 = 3,846.16/x
  3. Step 3: Cross multiply
    9,691.12x = 14,534.52 × 3,846.16
  4. Step 4: Simplify right side
    9,691.12x = 55,902,089.44
  5. Step 5: Solve for x
    x = 55,902,089.44/9,691.12
  6. Step 6: Final answer
    x = 5,768.38

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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.