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Finding the Fourth Proportional to 6,451.16, 9,676.71 and 4,259.36

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Solution

The fourth proportional to 6,451.16, 9,676.71 and 4,259.36 is: 6,389.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.16 : 9,676.71 = 4,259.36 : x
  2. Step 2: Convert to fraction form
    6,451.16/9,676.71 = 4,259.36/x
  3. Step 3: Cross multiply
    6,451.16x = 9,676.71 × 4,259.36
  4. Step 4: Simplify right side
    6,451.16x = 41,216,615.70
  5. Step 5: Solve for x
    x = 41,216,615.70/6,451.16
  6. Step 6: Final answer
    x = 6,389.03

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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.