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Finding the Fourth Proportional to 9,832.24, 14,750.55 and 3,592.24

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Solution

The fourth proportional to 9,832.24, 14,750.55 and 3,592.24 is: 5,389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.24 : 14,750.55 = 3,592.24 : x
  2. Step 2: Convert to fraction form
    9,832.24/14,750.55 = 3,592.24/x
  3. Step 3: Cross multiply
    9,832.24x = 14,750.55 × 3,592.24
  4. Step 4: Simplify right side
    9,832.24x = 52,987,515.73
  5. Step 5: Solve for x
    x = 52,987,515.73/9,832.24
  6. Step 6: Final answer
    x = 5,389.16

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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.