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Finding the Fourth Proportional to 10,082.32, 13,913.64 and 6,933.04

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Solution

The fourth proportional to 10,082.32, 13,913.64 and 6,933.04 is: 9,567.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.32 : 13,913.64 = 6,933.04 : x
  2. Step 2: Convert to fraction form
    10,082.32/13,913.64 = 6,933.04/x
  3. Step 3: Cross multiply
    10,082.32x = 13,913.64 × 6,933.04
  4. Step 4: Simplify right side
    10,082.32x = 96,463,822.67
  5. Step 5: Solve for x
    x = 96,463,822.67/10,082.32
  6. Step 6: Final answer
    x = 9,567.62

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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.