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Finding the Fourth Proportional to 9,751.56, 14,627.52 and 2,826

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Solution

The fourth proportional to 9,751.56, 14,627.52 and 2,826 is: 4,239.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.56 : 14,627.52 = 2,826 : x
  2. Step 2: Convert to fraction form
    9,751.56/14,627.52 = 2,826/x
  3. Step 3: Cross multiply
    9,751.56x = 14,627.52 × 2,826
  4. Step 4: Simplify right side
    9,751.56x = 41,337,371.52
  5. Step 5: Solve for x
    x = 41,337,371.52/9,751.56
  6. Step 6: Final answer
    x = 4,239.05

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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.