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Finding the Fourth Proportional to 6,845.65, 9,452.75 and 4,614.91

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Solution

The fourth proportional to 6,845.65, 9,452.75 and 4,614.91 is: 6,372.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.65 : 9,452.75 = 4,614.91 : x
  2. Step 2: Convert to fraction form
    6,845.65/9,452.75 = 4,614.91/x
  3. Step 3: Cross multiply
    6,845.65x = 9,452.75 × 4,614.91
  4. Step 4: Simplify right side
    6,845.65x = 43,623,543.80
  5. Step 5: Solve for x
    x = 43,623,543.80/6,845.65
  6. Step 6: Final answer
    x = 6,372.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.