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Finding the Fourth Proportional to 9,654.92, 13,323.72 and 5,405.96

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Solution

The fourth proportional to 9,654.92, 13,323.72 and 5,405.96 is: 7,460.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.92 : 13,323.72 = 5,405.96 : x
  2. Step 2: Convert to fraction form
    9,654.92/13,323.72 = 5,405.96/x
  3. Step 3: Cross multiply
    9,654.92x = 13,323.72 × 5,405.96
  4. Step 4: Simplify right side
    9,654.92x = 72,027,530.68
  5. Step 5: Solve for x
    x = 72,027,530.68/9,654.92
  6. Step 6: Final answer
    x = 7,460.19

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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.