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Finding the Fourth Proportional to 9,404.56, 14,107.04 and 3,164.76

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Solution

The fourth proportional to 9,404.56, 14,107.04 and 3,164.76 is: 4,747.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.56 : 14,107.04 = 3,164.76 : x
  2. Step 2: Convert to fraction form
    9,404.56/14,107.04 = 3,164.76/x
  3. Step 3: Cross multiply
    9,404.56x = 14,107.04 × 3,164.76
  4. Step 4: Simplify right side
    9,404.56x = 44,645,395.91
  5. Step 5: Solve for x
    x = 44,645,395.91/9,404.56
  6. Step 6: Final answer
    x = 4,747.21

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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.