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Finding the Fourth Proportional to 9,563.32, 13,164.62 and 8,296.92

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Solution

The fourth proportional to 9,563.32, 13,164.62 and 8,296.92 is: 11,421.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.32 : 13,164.62 = 8,296.92 : x
  2. Step 2: Convert to fraction form
    9,563.32/13,164.62 = 8,296.92/x
  3. Step 3: Cross multiply
    9,563.32x = 13,164.62 × 8,296.92
  4. Step 4: Simplify right side
    9,563.32x = 109,225,798.97
  5. Step 5: Solve for x
    x = 109,225,798.97/9,563.32
  6. Step 6: Final answer
    x = 11,421.33

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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.