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Finding the Fourth Proportional to 9,729.66, 13,423.82 and 5,752.11

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Solution

The fourth proportional to 9,729.66, 13,423.82 and 5,752.11 is: 7,936.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.66 : 13,423.82 = 5,752.11 : x
  2. Step 2: Convert to fraction form
    9,729.66/13,423.82 = 5,752.11/x
  3. Step 3: Cross multiply
    9,729.66x = 13,423.82 × 5,752.11
  4. Step 4: Simplify right side
    9,729.66x = 77,215,260.50
  5. Step 5: Solve for x
    x = 77,215,260.50/9,729.66
  6. Step 6: Final answer
    x = 7,936.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.