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Finding the Fourth Proportional to 9,621.50, 14,432.65 and 3,047.54

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Solution

The fourth proportional to 9,621.50, 14,432.65 and 3,047.54 is: 4,571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,621.50 : 14,432.65 = 3,047.54 : x
  2. Step 2: Convert to fraction form
    9,621.50/14,432.65 = 3,047.54/x
  3. Step 3: Cross multiply
    9,621.50x = 14,432.65 × 3,047.54
  4. Step 4: Simplify right side
    9,621.50x = 43,983,998.40
  5. Step 5: Solve for x
    x = 43,983,998.40/9,621.50
  6. Step 6: Final answer
    x = 4,571.43

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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.