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Finding the Fourth Proportional to 9,404.89, 14,096.40 and 7,558.09

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Solution

The fourth proportional to 9,404.89, 14,096.40 and 7,558.09 is: 11,328.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.89 : 14,096.40 = 7,558.09 : x
  2. Step 2: Convert to fraction form
    9,404.89/14,096.40 = 7,558.09/x
  3. Step 3: Cross multiply
    9,404.89x = 14,096.40 × 7,558.09
  4. Step 4: Simplify right side
    9,404.89x = 106,541,859.88
  5. Step 5: Solve for x
    x = 106,541,859.88/9,404.89
  6. Step 6: Final answer
    x = 11,328.35

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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.