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Finding the Fourth Proportional to 9,644.34, 14,465.59 and 3,404.10

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Solution

The fourth proportional to 9,644.34, 14,465.59 and 3,404.10 is: 5,105.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.34 : 14,465.59 = 3,404.10 : x
  2. Step 2: Convert to fraction form
    9,644.34/14,465.59 = 3,404.10/x
  3. Step 3: Cross multiply
    9,644.34x = 14,465.59 × 3,404.10
  4. Step 4: Simplify right side
    9,644.34x = 49,242,314.92
  5. Step 5: Solve for x
    x = 49,242,314.92/9,644.34
  6. Step 6: Final answer
    x = 5,105.83

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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.