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Finding the Fourth Proportional to 9,745.64, 14,615.06 and 3,170.60

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Solution

The fourth proportional to 9,745.64, 14,615.06 and 3,170.60 is: 4,754.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.64 : 14,615.06 = 3,170.60 : x
  2. Step 2: Convert to fraction form
    9,745.64/14,615.06 = 3,170.60/x
  3. Step 3: Cross multiply
    9,745.64x = 14,615.06 × 3,170.60
  4. Step 4: Simplify right side
    9,745.64x = 46,338,509.24
  5. Step 5: Solve for x
    x = 46,338,509.24/9,745.64
  6. Step 6: Final answer
    x = 4,754.79

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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.