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Finding the Fourth Proportional to 9,654.36, 13,323.06 and 5,463.42

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Solution

The fourth proportional to 9,654.36, 13,323.06 and 5,463.42 is: 7,539.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.36 : 13,323.06 = 5,463.42 : x
  2. Step 2: Convert to fraction form
    9,654.36/13,323.06 = 5,463.42/x
  3. Step 3: Cross multiply
    9,654.36x = 13,323.06 × 5,463.42
  4. Step 4: Simplify right side
    9,654.36x = 72,789,472.47
  5. Step 5: Solve for x
    x = 72,789,472.47/9,654.36
  6. Step 6: Final answer
    x = 7,539.54

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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.