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Finding the Fourth Proportional to 9,404.16, 14,083.80 and 5,447.05

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Solution

The fourth proportional to 9,404.16, 14,083.80 and 5,447.05 is: 8,157.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.16 : 14,083.80 = 5,447.05 : x
  2. Step 2: Convert to fraction form
    9,404.16/14,083.80 = 5,447.05/x
  3. Step 3: Cross multiply
    9,404.16x = 14,083.80 × 5,447.05
  4. Step 4: Simplify right side
    9,404.16x = 76,715,162.79
  5. Step 5: Solve for x
    x = 76,715,162.79/9,404.16
  6. Step 6: Final answer
    x = 8,157.58

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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.