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Finding the Fourth Proportional to 9,099.75, 13,624.29 and 4,647.84

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Solution

The fourth proportional to 9,099.75, 13,624.29 and 4,647.84 is: 6,958.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.75 : 13,624.29 = 4,647.84 : x
  2. Step 2: Convert to fraction form
    9,099.75/13,624.29 = 4,647.84/x
  3. Step 3: Cross multiply
    9,099.75x = 13,624.29 × 4,647.84
  4. Step 4: Simplify right side
    9,099.75x = 63,323,520.03
  5. Step 5: Solve for x
    x = 63,323,520.03/9,099.75
  6. Step 6: Final answer
    x = 6,958.82

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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.