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Finding the Fourth Proportional to 9,568.53, 14,349.62 and 4,020.84

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Solution

The fourth proportional to 9,568.53, 14,349.62 and 4,020.84 is: 6,029.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.53 : 14,349.62 = 4,020.84 : x
  2. Step 2: Convert to fraction form
    9,568.53/14,349.62 = 4,020.84/x
  3. Step 3: Cross multiply
    9,568.53x = 14,349.62 × 4,020.84
  4. Step 4: Simplify right side
    9,568.53x = 57,697,505.98
  5. Step 5: Solve for x
    x = 57,697,505.98/9,568.53
  6. Step 6: Final answer
    x = 6,029.92

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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.