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Finding the Fourth Proportional to 9,659.22, 13,328.62 and 5,409.69

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Solution

The fourth proportional to 9,659.22, 13,328.62 and 5,409.69 is: 7,464.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.22 : 13,328.62 = 5,409.69 : x
  2. Step 2: Convert to fraction form
    9,659.22/13,328.62 = 5,409.69/x
  3. Step 3: Cross multiply
    9,659.22x = 13,328.62 × 5,409.69
  4. Step 4: Simplify right side
    9,659.22x = 72,103,702.33
  5. Step 5: Solve for x
    x = 72,103,702.33/9,659.22
  6. Step 6: Final answer
    x = 7,464.75

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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.