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Finding the Fourth Proportional to 9,697.01, 14,548.44 and 3,456.21

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Solution

The fourth proportional to 9,697.01, 14,548.44 and 3,456.21 is: 5,185.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.01 : 14,548.44 = 3,456.21 : x
  2. Step 2: Convert to fraction form
    9,697.01/14,548.44 = 3,456.21/x
  3. Step 3: Cross multiply
    9,697.01x = 14,548.44 × 3,456.21
  4. Step 4: Simplify right side
    9,697.01x = 50,282,446.53
  5. Step 5: Solve for x
    x = 50,282,446.53/9,697.01
  6. Step 6: Final answer
    x = 5,185.36

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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.