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Finding the Fourth Proportional to 6,463.58, 9,695.43 and 2,763.50

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Solution

The fourth proportional to 6,463.58, 9,695.43 and 2,763.50 is: 4,145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.58 : 9,695.43 = 2,763.50 : x
  2. Step 2: Convert to fraction form
    6,463.58/9,695.43 = 2,763.50/x
  3. Step 3: Cross multiply
    6,463.58x = 9,695.43 × 2,763.50
  4. Step 4: Simplify right side
    6,463.58x = 26,793,272.33
  5. Step 5: Solve for x
    x = 26,793,272.33/6,463.58
  6. Step 6: Final answer
    x = 4,145.27

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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.