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Finding the Fourth Proportional to 9,640.23, 13,305.75 and 6,277.20

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Solution

The fourth proportional to 9,640.23, 13,305.75 and 6,277.20 is: 8,663.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.23 : 13,305.75 = 6,277.20 : x
  2. Step 2: Convert to fraction form
    9,640.23/13,305.75 = 6,277.20/x
  3. Step 3: Cross multiply
    9,640.23x = 13,305.75 × 6,277.20
  4. Step 4: Simplify right side
    9,640.23x = 83,522,853.90
  5. Step 5: Solve for x
    x = 83,522,853.90/9,640.23
  6. Step 6: Final answer
    x = 8,663.99

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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.