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Finding the Fourth Proportional to 9,745.20, 14,617.80 and 9,318.60

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Solution

The fourth proportional to 9,745.20, 14,617.80 and 9,318.60 is: 13,977.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.20 : 14,617.80 = 9,318.60 : x
  2. Step 2: Convert to fraction form
    9,745.20/14,617.80 = 9,318.60/x
  3. Step 3: Cross multiply
    9,745.20x = 14,617.80 × 9,318.60
  4. Step 4: Simplify right side
    9,745.20x = 136,217,431.08
  5. Step 5: Solve for x
    x = 136,217,431.08/9,745.20
  6. Step 6: Final answer
    x = 13,977.90

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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.