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Finding the Fourth Proportional to 9,745.84, 14,617.13 and 3,504.59

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Solution

The fourth proportional to 9,745.84, 14,617.13 and 3,504.59 is: 5,256.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.84 : 14,617.13 = 3,504.59 : x
  2. Step 2: Convert to fraction form
    9,745.84/14,617.13 = 3,504.59/x
  3. Step 3: Cross multiply
    9,745.84x = 14,617.13 × 3,504.59
  4. Step 4: Simplify right side
    9,745.84x = 51,226,974.54
  5. Step 5: Solve for x
    x = 51,226,974.54/9,745.84
  6. Step 6: Final answer
    x = 5,256.29

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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.