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Finding the Fourth Proportional to 6,456.64, 9,686.04 and 2,563.80

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Solution

The fourth proportional to 6,456.64, 9,686.04 and 2,563.80 is: 3,846.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.64 : 9,686.04 = 2,563.80 : x
  2. Step 2: Convert to fraction form
    6,456.64/9,686.04 = 2,563.80/x
  3. Step 3: Cross multiply
    6,456.64x = 9,686.04 × 2,563.80
  4. Step 4: Simplify right side
    6,456.64x = 24,833,069.35
  5. Step 5: Solve for x
    x = 24,833,069.35/6,456.64
  6. Step 6: Final answer
    x = 3,846.13

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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.