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Finding the Fourth Proportional to 9,476.53, 14,217.83 and 4,546.56

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Solution

The fourth proportional to 9,476.53, 14,217.83 and 4,546.56 is: 6,821.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.53 : 14,217.83 = 4,546.56 : x
  2. Step 2: Convert to fraction form
    9,476.53/14,217.83 = 4,546.56/x
  3. Step 3: Cross multiply
    9,476.53x = 14,217.83 × 4,546.56
  4. Step 4: Simplify right side
    9,476.53x = 64,642,264.80
  5. Step 5: Solve for x
    x = 64,642,264.80/9,476.53
  6. Step 6: Final answer
    x = 6,821.30

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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.