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Finding the Fourth Proportional to 9,622.84, 14,431.74 and 4,355.80

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Solution

The fourth proportional to 9,622.84, 14,431.74 and 4,355.80 is: 6,532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622.84 : 14,431.74 = 4,355.80 : x
  2. Step 2: Convert to fraction form
    9,622.84/14,431.74 = 4,355.80/x
  3. Step 3: Cross multiply
    9,622.84x = 14,431.74 × 4,355.80
  4. Step 4: Simplify right side
    9,622.84x = 62,861,773.09
  5. Step 5: Solve for x
    x = 62,861,773.09/9,622.84
  6. Step 6: Final answer
    x = 6,532.56

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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.