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Finding the Fourth Proportional to 9,656.47, 14,483.49 and 3,082.11

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Solution

The fourth proportional to 9,656.47, 14,483.49 and 3,082.11 is: 4,622.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.47 : 14,483.49 = 3,082.11 : x
  2. Step 2: Convert to fraction form
    9,656.47/14,483.49 = 3,082.11/x
  3. Step 3: Cross multiply
    9,656.47x = 14,483.49 × 3,082.11
  4. Step 4: Simplify right side
    9,656.47x = 44,639,709.36
  5. Step 5: Solve for x
    x = 44,639,709.36/9,656.47
  6. Step 6: Final answer
    x = 4,622.78

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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.