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Finding the Fourth Proportional to 9,724.65, 13,419.91 and 5,745.68

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Solution

The fourth proportional to 9,724.65, 13,419.91 and 5,745.68 is: 7,928.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.65 : 13,419.91 = 5,745.68 : x
  2. Step 2: Convert to fraction form
    9,724.65/13,419.91 = 5,745.68/x
  3. Step 3: Cross multiply
    9,724.65x = 13,419.91 × 5,745.68
  4. Step 4: Simplify right side
    9,724.65x = 77,106,508.49
  5. Step 5: Solve for x
    x = 77,106,508.49/9,724.65
  6. Step 6: Final answer
    x = 7,928.98

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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.