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Finding the Fourth Proportional to 9,624.53, 14,441.25 and 5,236.76

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Solution

The fourth proportional to 9,624.53, 14,441.25 and 5,236.76 is: 7,857.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.53 : 14,441.25 = 5,236.76 : x
  2. Step 2: Convert to fraction form
    9,624.53/14,441.25 = 5,236.76/x
  3. Step 3: Cross multiply
    9,624.53x = 14,441.25 × 5,236.76
  4. Step 4: Simplify right side
    9,624.53x = 75,625,360.35
  5. Step 5: Solve for x
    x = 75,625,360.35/9,624.53
  6. Step 6: Final answer
    x = 7,857.56

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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.