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Finding the Fourth Proportional to 9,633.24, 14,423.16 and 4,943.16

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Solution

The fourth proportional to 9,633.24, 14,423.16 and 4,943.16 is: 7,401.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.24 : 14,423.16 = 4,943.16 : x
  2. Step 2: Convert to fraction form
    9,633.24/14,423.16 = 4,943.16/x
  3. Step 3: Cross multiply
    9,633.24x = 14,423.16 × 4,943.16
  4. Step 4: Simplify right side
    9,633.24x = 71,295,987.59
  5. Step 5: Solve for x
    x = 71,295,987.59/9,633.24
  6. Step 6: Final answer
    x = 7,401.04

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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.