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Finding the Fourth Proportional to 9,525.62, 14,287.82 and 2,951.25

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Solution

The fourth proportional to 9,525.62, 14,287.82 and 2,951.25 is: 4,426.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.62 : 14,287.82 = 2,951.25 : x
  2. Step 2: Convert to fraction form
    9,525.62/14,287.82 = 2,951.25/x
  3. Step 3: Cross multiply
    9,525.62x = 14,287.82 × 2,951.25
  4. Step 4: Simplify right side
    9,525.62x = 42,166,914.02
  5. Step 5: Solve for x
    x = 42,166,914.02/9,525.62
  6. Step 6: Final answer
    x = 4,426.69

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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.