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Finding the Fourth Proportional to 9,294.53, 13,939.96 and 4,609.62

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Solution

The fourth proportional to 9,294.53, 13,939.96 and 4,609.62 is: 6,913.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.53 : 13,939.96 = 4,609.62 : x
  2. Step 2: Convert to fraction form
    9,294.53/13,939.96 = 4,609.62/x
  3. Step 3: Cross multiply
    9,294.53x = 13,939.96 × 4,609.62
  4. Step 4: Simplify right side
    9,294.53x = 64,257,918.42
  5. Step 5: Solve for x
    x = 64,257,918.42/9,294.53
  6. Step 6: Final answer
    x = 6,913.52

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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.