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Finding the Fourth Proportional to 9,640.28, 14,462.50 and 5,482.28

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Solution

The fourth proportional to 9,640.28, 14,462.50 and 5,482.28 is: 8,224.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.28 : 14,462.50 = 5,482.28 : x
  2. Step 2: Convert to fraction form
    9,640.28/14,462.50 = 5,482.28/x
  3. Step 3: Cross multiply
    9,640.28x = 14,462.50 × 5,482.28
  4. Step 4: Simplify right side
    9,640.28x = 79,287,474.50
  5. Step 5: Solve for x
    x = 79,287,474.50/9,640.28
  6. Step 6: Final answer
    x = 8,224.60

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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.