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Finding the Fourth Proportional to 9,264.33, 13,896.32 and 3,718.94

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Solution

The fourth proportional to 9,264.33, 13,896.32 and 3,718.94 is: 5,578.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.33 : 13,896.32 = 3,718.94 : x
  2. Step 2: Convert to fraction form
    9,264.33/13,896.32 = 3,718.94/x
  3. Step 3: Cross multiply
    9,264.33x = 13,896.32 × 3,718.94
  4. Step 4: Simplify right side
    9,264.33x = 51,679,492.22
  5. Step 5: Solve for x
    x = 51,679,492.22/9,264.33
  6. Step 6: Final answer
    x = 5,578.33

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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.