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Finding the Fourth Proportional to 6,284.72, 9,429.05 and 2,588.69

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Solution

The fourth proportional to 6,284.72, 9,429.05 and 2,588.69 is: 3,883.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.72 : 9,429.05 = 2,588.69 : x
  2. Step 2: Convert to fraction form
    6,284.72/9,429.05 = 2,588.69/x
  3. Step 3: Cross multiply
    6,284.72x = 9,429.05 × 2,588.69
  4. Step 4: Simplify right side
    6,284.72x = 24,408,917.49
  5. Step 5: Solve for x
    x = 24,408,917.49/6,284.72
  6. Step 6: Final answer
    x = 3,883.85

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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.