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Finding the Fourth Proportional to 6,294.58, 9,441.82 and 1,614.58

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Solution

The fourth proportional to 6,294.58, 9,441.82 and 1,614.58 is: 2,421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.58 : 9,441.82 = 1,614.58 : x
  2. Step 2: Convert to fraction form
    6,294.58/9,441.82 = 1,614.58/x
  3. Step 3: Cross multiply
    6,294.58x = 9,441.82 × 1,614.58
  4. Step 4: Simplify right side
    6,294.58x = 15,244,573.74
  5. Step 5: Solve for x
    x = 15,244,573.74/6,294.58
  6. Step 6: Final answer
    x = 2,421.86

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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.