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Finding the Fourth Proportional to 9,644.53, 14,463.18 and 3,317.62

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Solution

The fourth proportional to 9,644.53, 14,463.18 and 3,317.62 is: 4,975.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.53 : 14,463.18 = 3,317.62 : x
  2. Step 2: Convert to fraction form
    9,644.53/14,463.18 = 3,317.62/x
  3. Step 3: Cross multiply
    9,644.53x = 14,463.18 × 3,317.62
  4. Step 4: Simplify right side
    9,644.53x = 47,983,335.23
  5. Step 5: Solve for x
    x = 47,983,335.23/9,644.53
  6. Step 6: Final answer
    x = 4,975.19

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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.