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Finding the Fourth Proportional to 9,725.76, 13,418.88 and 5,745.12

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Solution

The fourth proportional to 9,725.76, 13,418.88 and 5,745.12 is: 7,926.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.76 : 13,418.88 = 5,745.12 : x
  2. Step 2: Convert to fraction form
    9,725.76/13,418.88 = 5,745.12/x
  3. Step 3: Cross multiply
    9,725.76x = 13,418.88 × 5,745.12
  4. Step 4: Simplify right side
    9,725.76x = 77,093,075.87
  5. Step 5: Solve for x
    x = 77,093,075.87/9,725.76
  6. Step 6: Final answer
    x = 7,926.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.