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Finding the Fourth Proportional to 6,475.20, 9,713.68 and 2,525.68

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Solution

The fourth proportional to 6,475.20, 9,713.68 and 2,525.68 is: 3,788.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.20 : 9,713.68 = 2,525.68 : x
  2. Step 2: Convert to fraction form
    6,475.20/9,713.68 = 2,525.68/x
  3. Step 3: Cross multiply
    6,475.20x = 9,713.68 × 2,525.68
  4. Step 4: Simplify right side
    6,475.20x = 24,533,647.30
  5. Step 5: Solve for x
    x = 24,533,647.30/6,475.20
  6. Step 6: Final answer
    x = 3,788.86

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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.