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Finding the Fourth Proportional to 9,441.56, 14,162.34 and 4,496.21

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Solution

The fourth proportional to 9,441.56, 14,162.34 and 4,496.21 is: 6,744.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441.56 : 14,162.34 = 4,496.21 : x
  2. Step 2: Convert to fraction form
    9,441.56/14,162.34 = 4,496.21/x
  3. Step 3: Cross multiply
    9,441.56x = 14,162.34 × 4,496.21
  4. Step 4: Simplify right side
    9,441.56x = 63,676,783.92
  5. Step 5: Solve for x
    x = 63,676,783.92/9,441.56
  6. Step 6: Final answer
    x = 6,744.31

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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.