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Finding the Fourth Proportional to 9,654.50, 13,323.33 and 5,462.66

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Solution

The fourth proportional to 9,654.50, 13,323.33 and 5,462.66 is: 7,538.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.50 : 13,323.33 = 5,462.66 : x
  2. Step 2: Convert to fraction form
    9,654.50/13,323.33 = 5,462.66/x
  3. Step 3: Cross multiply
    9,654.50x = 13,323.33 × 5,462.66
  4. Step 4: Simplify right side
    9,654.50x = 72,780,821.86
  5. Step 5: Solve for x
    x = 72,780,821.86/9,654.50
  6. Step 6: Final answer
    x = 7,538.54

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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.