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Finding the Fourth Proportional to 9,927.92, 14,893.57 and 3,352.54

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Solution

The fourth proportional to 9,927.92, 14,893.57 and 3,352.54 is: 5,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.92 : 14,893.57 = 3,352.54 : x
  2. Step 2: Convert to fraction form
    9,927.92/14,893.57 = 3,352.54/x
  3. Step 3: Cross multiply
    9,927.92x = 14,893.57 × 3,352.54
  4. Step 4: Simplify right side
    9,927.92x = 49,931,284.05
  5. Step 5: Solve for x
    x = 49,931,284.05/9,927.92
  6. Step 6: Final answer
    x = 5,029.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.