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Finding the Fourth Proportional to 9,733.11, 14,604.27 and 5,792.16

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Solution

The fourth proportional to 9,733.11, 14,604.27 and 5,792.16 is: 8,690.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.11 : 14,604.27 = 5,792.16 : x
  2. Step 2: Convert to fraction form
    9,733.11/14,604.27 = 5,792.16/x
  3. Step 3: Cross multiply
    9,733.11x = 14,604.27 × 5,792.16
  4. Step 4: Simplify right side
    9,733.11x = 84,590,195.50
  5. Step 5: Solve for x
    x = 84,590,195.50/9,733.11
  6. Step 6: Final answer
    x = 8,690.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.