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Finding the Fourth Proportional to 9,264.49, 13,896.67 and 7,874.53

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Solution

The fourth proportional to 9,264.49, 13,896.67 and 7,874.53 is: 11,811.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.49 : 13,896.67 = 7,874.53 : x
  2. Step 2: Convert to fraction form
    9,264.49/13,896.67 = 7,874.53/x
  3. Step 3: Cross multiply
    9,264.49x = 13,896.67 × 7,874.53
  4. Step 4: Simplify right side
    9,264.49x = 109,429,744.82
  5. Step 5: Solve for x
    x = 109,429,744.82/9,264.49
  6. Step 6: Final answer
    x = 11,811.74

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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.