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Finding the Fourth Proportional to 9,082.34, 13,642.19 and 5,966.77

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Solution

The fourth proportional to 9,082.34, 13,642.19 and 5,966.77 is: 8,962.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.34 : 13,642.19 = 5,966.77 : x
  2. Step 2: Convert to fraction form
    9,082.34/13,642.19 = 5,966.77/x
  3. Step 3: Cross multiply
    9,082.34x = 13,642.19 × 5,966.77
  4. Step 4: Simplify right side
    9,082.34x = 81,399,810.03
  5. Step 5: Solve for x
    x = 81,399,810.03/9,082.34
  6. Step 6: Final answer
    x = 8,962.43

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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.