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Finding the Fourth Proportional to 9,467.54, 14,200.05 and 2,542.58

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Solution

The fourth proportional to 9,467.54, 14,200.05 and 2,542.58 is: 3,813.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.54 : 14,200.05 = 2,542.58 : x
  2. Step 2: Convert to fraction form
    9,467.54/14,200.05 = 2,542.58/x
  3. Step 3: Cross multiply
    9,467.54x = 14,200.05 × 2,542.58
  4. Step 4: Simplify right side
    9,467.54x = 36,104,763.13
  5. Step 5: Solve for x
    x = 36,104,763.13/9,467.54
  6. Step 6: Final answer
    x = 3,813.53

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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.