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Finding the Fourth Proportional to 9,745.48, 14,615.04 and 3,170.24

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Solution

The fourth proportional to 9,745.48, 14,615.04 and 3,170.24 is: 4,754.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.48 : 14,615.04 = 3,170.24 : x
  2. Step 2: Convert to fraction form
    9,745.48/14,615.04 = 3,170.24/x
  3. Step 3: Cross multiply
    9,745.48x = 14,615.04 × 3,170.24
  4. Step 4: Simplify right side
    9,745.48x = 46,333,184.41
  5. Step 5: Solve for x
    x = 46,333,184.41/9,745.48
  6. Step 6: Final answer
    x = 4,754.33

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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.