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Finding the Fourth Proportional to 6,114.62, 9,125.73 and 5,524.13

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Solution

The fourth proportional to 6,114.62, 9,125.73 and 5,524.13 is: 8,244.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.62 : 9,125.73 = 5,524.13 : x
  2. Step 2: Convert to fraction form
    6,114.62/9,125.73 = 5,524.13/x
  3. Step 3: Cross multiply
    6,114.62x = 9,125.73 × 5,524.13
  4. Step 4: Simplify right side
    6,114.62x = 50,411,741.68
  5. Step 5: Solve for x
    x = 50,411,741.68/6,114.62
  6. Step 6: Final answer
    x = 8,244.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.