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Finding the Fourth Proportional to 9,644.46, 14,462.91 and 3,403.14

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Solution

The fourth proportional to 9,644.46, 14,462.91 and 3,403.14 is: 5,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.46 : 14,462.91 = 3,403.14 : x
  2. Step 2: Convert to fraction form
    9,644.46/14,462.91 = 3,403.14/x
  3. Step 3: Cross multiply
    9,644.46x = 14,462.91 × 3,403.14
  4. Step 4: Simplify right side
    9,644.46x = 49,219,307.54
  5. Step 5: Solve for x
    x = 49,219,307.54/9,644.46
  6. Step 6: Final answer
    x = 5,103.38

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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.