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Finding the Fourth Proportional to 9,404.67, 14,108.49 and 3,782.32

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Solution

The fourth proportional to 9,404.67, 14,108.49 and 3,782.32 is: 5,674.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.67 : 14,108.49 = 3,782.32 : x
  2. Step 2: Convert to fraction form
    9,404.67/14,108.49 = 3,782.32/x
  3. Step 3: Cross multiply
    9,404.67x = 14,108.49 × 3,782.32
  4. Step 4: Simplify right side
    9,404.67x = 53,362,823.90
  5. Step 5: Solve for x
    x = 53,362,823.90/9,404.67
  6. Step 6: Final answer
    x = 5,674.08

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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.