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Finding the Fourth Proportional to 9,509.64, 14,268.06 and 4,311.96

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Solution

The fourth proportional to 9,509.64, 14,268.06 and 4,311.96 is: 6,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.64 : 14,268.06 = 4,311.96 : x
  2. Step 2: Convert to fraction form
    9,509.64/14,268.06 = 4,311.96/x
  3. Step 3: Cross multiply
    9,509.64x = 14,268.06 × 4,311.96
  4. Step 4: Simplify right side
    9,509.64x = 61,523,304.00
  5. Step 5: Solve for x
    x = 61,523,304.00/9,509.64
  6. Step 6: Final answer
    x = 6,469.57

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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.