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Finding the Fourth Proportional to 9,924.96, 14,887.49 and 4,082.07

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Solution

The fourth proportional to 9,924.96, 14,887.49 and 4,082.07 is: 6,123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.96 : 14,887.49 = 4,082.07 : x
  2. Step 2: Convert to fraction form
    9,924.96/14,887.49 = 4,082.07/x
  3. Step 3: Cross multiply
    9,924.96x = 14,887.49 × 4,082.07
  4. Step 4: Simplify right side
    9,924.96x = 60,771,755.89
  5. Step 5: Solve for x
    x = 60,771,755.89/9,924.96
  6. Step 6: Final answer
    x = 6,123.12

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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.