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Finding the Fourth Proportional to 6,242.48, 9,365.22 and 2,082.53

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Solution

The fourth proportional to 6,242.48, 9,365.22 and 2,082.53 is: 3,124.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.48 : 9,365.22 = 2,082.53 : x
  2. Step 2: Convert to fraction form
    6,242.48/9,365.22 = 2,082.53/x
  3. Step 3: Cross multiply
    6,242.48x = 9,365.22 × 2,082.53
  4. Step 4: Simplify right side
    6,242.48x = 19,503,322.34
  5. Step 5: Solve for x
    x = 19,503,322.34/6,242.48
  6. Step 6: Final answer
    x = 3,124.29

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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.