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Finding the Fourth Proportional to 9,640.16, 13,305.44 and 5,661.60

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Solution

The fourth proportional to 9,640.16, 13,305.44 and 5,661.60 is: 7,814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.16 : 13,305.44 = 5,661.60 : x
  2. Step 2: Convert to fraction form
    9,640.16/13,305.44 = 5,661.60/x
  3. Step 3: Cross multiply
    9,640.16x = 13,305.44 × 5,661.60
  4. Step 4: Simplify right side
    9,640.16x = 75,330,079.10
  5. Step 5: Solve for x
    x = 75,330,079.10/9,640.16
  6. Step 6: Final answer
    x = 7,814.19

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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.