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Finding the Fourth Proportional to 9,262.42, 13,892.76 and 2,599.54

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Solution

The fourth proportional to 9,262.42, 13,892.76 and 2,599.54 is: 3,899.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.42 : 13,892.76 = 2,599.54 : x
  2. Step 2: Convert to fraction form
    9,262.42/13,892.76 = 2,599.54/x
  3. Step 3: Cross multiply
    9,262.42x = 13,892.76 × 2,599.54
  4. Step 4: Simplify right side
    9,262.42x = 36,114,715.87
  5. Step 5: Solve for x
    x = 36,114,715.87/9,262.42
  6. Step 6: Final answer
    x = 3,899.06

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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.