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Finding the Fourth Proportional to 9,644.42, 14,467.80 and 3,403.15

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Solution

The fourth proportional to 9,644.42, 14,467.80 and 3,403.15 is: 5,105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.42 : 14,467.80 = 3,403.15 : x
  2. Step 2: Convert to fraction form
    9,644.42/14,467.80 = 3,403.15/x
  3. Step 3: Cross multiply
    9,644.42x = 14,467.80 × 3,403.15
  4. Step 4: Simplify right side
    9,644.42x = 49,236,132.40
  5. Step 5: Solve for x
    x = 49,236,132.40/9,644.42
  6. Step 6: Final answer
    x = 5,105.14

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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.