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Finding the Fourth Proportional to 6,242.30, 9,362.43 and 2,082.34

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Solution

The fourth proportional to 6,242.30, 9,362.43 and 2,082.34 is: 3,123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.30 : 9,362.43 = 2,082.34 : x
  2. Step 2: Convert to fraction form
    6,242.30/9,362.43 = 2,082.34/x
  3. Step 3: Cross multiply
    6,242.30x = 9,362.43 × 2,082.34
  4. Step 4: Simplify right side
    6,242.30x = 19,495,752.07
  5. Step 5: Solve for x
    x = 19,495,752.07/6,242.30
  6. Step 6: Final answer
    x = 3,123.17

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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.