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Finding the Fourth Proportional to 6,475.50, 9,714.87 and 2,775.90

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Solution

The fourth proportional to 6,475.50, 9,714.87 and 2,775.90 is: 4,164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.50 : 9,714.87 = 2,775.90 : x
  2. Step 2: Convert to fraction form
    6,475.50/9,714.87 = 2,775.90/x
  3. Step 3: Cross multiply
    6,475.50x = 9,714.87 × 2,775.90
  4. Step 4: Simplify right side
    6,475.50x = 26,967,507.63
  5. Step 5: Solve for x
    x = 26,967,507.63/6,475.50
  6. Step 6: Final answer
    x = 4,164.54

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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.