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Finding the Fourth Proportional to 9,656.38, 14,484.34 and 3,082.47

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Solution

The fourth proportional to 9,656.38, 14,484.34 and 3,082.47 is: 4,623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.38 : 14,484.34 = 3,082.47 : x
  2. Step 2: Convert to fraction form
    9,656.38/14,484.34 = 3,082.47/x
  3. Step 3: Cross multiply
    9,656.38x = 14,484.34 × 3,082.47
  4. Step 4: Simplify right side
    9,656.38x = 44,647,543.52
  5. Step 5: Solve for x
    x = 44,647,543.52/9,656.38
  6. Step 6: Final answer
    x = 4,623.63

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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.