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Finding the Fourth Proportional to 9,404.90, 14,096.55 and 3,854.60

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Solution

The fourth proportional to 9,404.90, 14,096.55 and 3,854.60 is: 5,777.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.90 : 14,096.55 = 3,854.60 : x
  2. Step 2: Convert to fraction form
    9,404.90/14,096.55 = 3,854.60/x
  3. Step 3: Cross multiply
    9,404.90x = 14,096.55 × 3,854.60
  4. Step 4: Simplify right side
    9,404.90x = 54,336,561.63
  5. Step 5: Solve for x
    x = 54,336,561.63/9,404.90
  6. Step 6: Final answer
    x = 5,777.47

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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.