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Finding the Fourth Proportional to 9,585.42, 14,379.21 and 2,659.92

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Solution

The fourth proportional to 9,585.42, 14,379.21 and 2,659.92 is: 3,990.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.42 : 14,379.21 = 2,659.92 : x
  2. Step 2: Convert to fraction form
    9,585.42/14,379.21 = 2,659.92/x
  3. Step 3: Cross multiply
    9,585.42x = 14,379.21 × 2,659.92
  4. Step 4: Simplify right side
    9,585.42x = 38,247,548.26
  5. Step 5: Solve for x
    x = 38,247,548.26/9,585.42
  6. Step 6: Final answer
    x = 3,990.18

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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.