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Finding the Fourth Proportional to 9,624.68, 14,441.80 and 5,405.31

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Solution

The fourth proportional to 9,624.68, 14,441.80 and 5,405.31 is: 8,110.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.68 : 14,441.80 = 5,405.31 : x
  2. Step 2: Convert to fraction form
    9,624.68/14,441.80 = 5,405.31/x
  3. Step 3: Cross multiply
    9,624.68x = 14,441.80 × 5,405.31
  4. Step 4: Simplify right side
    9,624.68x = 78,062,405.96
  5. Step 5: Solve for x
    x = 78,062,405.96/9,624.68
  6. Step 6: Final answer
    x = 8,110.65

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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.