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Finding the Fourth Proportional to 9,659.68, 13,334.45 and 6,305.37

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Solution

The fourth proportional to 9,659.68, 13,334.45 and 6,305.37 is: 8,704.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.68 : 13,334.45 = 6,305.37 : x
  2. Step 2: Convert to fraction form
    9,659.68/13,334.45 = 6,305.37/x
  3. Step 3: Cross multiply
    9,659.68x = 13,334.45 × 6,305.37
  4. Step 4: Simplify right side
    9,659.68x = 84,078,641.00
  5. Step 5: Solve for x
    x = 84,078,641.00/9,659.68
  6. Step 6: Final answer
    x = 8,704.08

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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.