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Finding the Fourth Proportional to 9,256.26, 12,775.50 and 6,429.54

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Solution

The fourth proportional to 9,256.26, 12,775.50 and 6,429.54 is: 8,874.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.26 : 12,775.50 = 6,429.54 : x
  2. Step 2: Convert to fraction form
    9,256.26/12,775.50 = 6,429.54/x
  3. Step 3: Cross multiply
    9,256.26x = 12,775.50 × 6,429.54
  4. Step 4: Simplify right side
    9,256.26x = 82,140,588.27
  5. Step 5: Solve for x
    x = 82,140,588.27/9,256.26
  6. Step 6: Final answer
    x = 8,874.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.