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Finding the Fourth Proportional to 9,568.84, 14,354.46 and 2,993.80

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Solution

The fourth proportional to 9,568.84, 14,354.46 and 2,993.80 is: 4,491.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.84 : 14,354.46 = 2,993.80 : x
  2. Step 2: Convert to fraction form
    9,568.84/14,354.46 = 2,993.80/x
  3. Step 3: Cross multiply
    9,568.84x = 14,354.46 × 2,993.80
  4. Step 4: Simplify right side
    9,568.84x = 42,974,382.35
  5. Step 5: Solve for x
    x = 42,974,382.35/9,568.84
  6. Step 6: Final answer
    x = 4,491.08

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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.