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Finding the Fourth Proportional to 9,387.54, 14,080.23 and 2,462.58

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Solution

The fourth proportional to 9,387.54, 14,080.23 and 2,462.58 is: 3,693.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.54 : 14,080.23 = 2,462.58 : x
  2. Step 2: Convert to fraction form
    9,387.54/14,080.23 = 2,462.58/x
  3. Step 3: Cross multiply
    9,387.54x = 14,080.23 × 2,462.58
  4. Step 4: Simplify right side
    9,387.54x = 34,673,692.79
  5. Step 5: Solve for x
    x = 34,673,692.79/9,387.54
  6. Step 6: Final answer
    x = 3,693.59

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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.