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Finding the Fourth Proportional to 6,643.80, 9,965.70 and 6,259.80

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Solution

The fourth proportional to 6,643.80, 9,965.70 and 6,259.80 is: 9,389.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.80 : 9,965.70 = 6,259.80 : x
  2. Step 2: Convert to fraction form
    6,643.80/9,965.70 = 6,259.80/x
  3. Step 3: Cross multiply
    6,643.80x = 9,965.70 × 6,259.80
  4. Step 4: Simplify right side
    6,643.80x = 62,383,288.86
  5. Step 5: Solve for x
    x = 62,383,288.86/6,643.80
  6. Step 6: Final answer
    x = 9,389.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.