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Finding the Fourth Proportional to 9,773.29, 14,668.75 and 6,082.73

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Solution

The fourth proportional to 9,773.29, 14,668.75 and 6,082.73 is: 9,129.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.29 : 14,668.75 = 6,082.73 : x
  2. Step 2: Convert to fraction form
    9,773.29/14,668.75 = 6,082.73/x
  3. Step 3: Cross multiply
    9,773.29x = 14,668.75 × 6,082.73
  4. Step 4: Simplify right side
    9,773.29x = 89,225,941.93
  5. Step 5: Solve for x
    x = 89,225,941.93/9,773.29
  6. Step 6: Final answer
    x = 9,129.57

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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.