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Finding the Fourth Proportional to 9,745.79, 13,448.87 and 5,496.96

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Solution

The fourth proportional to 9,745.79, 13,448.87 and 5,496.96 is: 7,585.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.79 : 13,448.87 = 5,496.96 : x
  2. Step 2: Convert to fraction form
    9,745.79/13,448.87 = 5,496.96/x
  3. Step 3: Cross multiply
    9,745.79x = 13,448.87 × 5,496.96
  4. Step 4: Simplify right side
    9,745.79x = 73,927,872.95
  5. Step 5: Solve for x
    x = 73,927,872.95/9,745.79
  6. Step 6: Final answer
    x = 7,585.63

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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.