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Finding the Fourth Proportional to 9,656.12, 14,486.14 and 3,082.12

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Solution

The fourth proportional to 9,656.12, 14,486.14 and 3,082.12 is: 4,623.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.12 : 14,486.14 = 3,082.12 : x
  2. Step 2: Convert to fraction form
    9,656.12/14,486.14 = 3,082.12/x
  3. Step 3: Cross multiply
    9,656.12x = 14,486.14 × 3,082.12
  4. Step 4: Simplify right side
    9,656.12x = 44,648,021.82
  5. Step 5: Solve for x
    x = 44,648,021.82/9,656.12
  6. Step 6: Final answer
    x = 4,623.81

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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.