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Finding the Fourth Proportional to 9,836.52, 14,754.76 and 3,082.63

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Solution

The fourth proportional to 9,836.52, 14,754.76 and 3,082.63 is: 4,623.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.52 : 14,754.76 = 3,082.63 : x
  2. Step 2: Convert to fraction form
    9,836.52/14,754.76 = 3,082.63/x
  3. Step 3: Cross multiply
    9,836.52x = 14,754.76 × 3,082.63
  4. Step 4: Simplify right side
    9,836.52x = 45,483,395.90
  5. Step 5: Solve for x
    x = 45,483,395.90/9,836.52
  6. Step 6: Final answer
    x = 4,623.93

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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.