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Finding the Fourth Proportional to 6,451.64, 9,676.80 and 1,772.12

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Solution

The fourth proportional to 6,451.64, 9,676.80 and 1,772.12 is: 2,658.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.64 : 9,676.80 = 1,772.12 : x
  2. Step 2: Convert to fraction form
    6,451.64/9,676.80 = 1,772.12/x
  3. Step 3: Cross multiply
    6,451.64x = 9,676.80 × 1,772.12
  4. Step 4: Simplify right side
    6,451.64x = 17,148,475.01
  5. Step 5: Solve for x
    x = 17,148,475.01/6,451.64
  6. Step 6: Final answer
    x = 2,658.00

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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.