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Finding the Fourth Proportional to 9,729.87, 13,427.24 and 5,752.95

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Solution

The fourth proportional to 9,729.87, 13,427.24 and 5,752.95 is: 7,939.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.87 : 13,427.24 = 5,752.95 : x
  2. Step 2: Convert to fraction form
    9,729.87/13,427.24 = 5,752.95/x
  3. Step 3: Cross multiply
    9,729.87x = 13,427.24 × 5,752.95
  4. Step 4: Simplify right side
    9,729.87x = 77,246,211.59
  5. Step 5: Solve for x
    x = 77,246,211.59/9,729.87
  6. Step 6: Final answer
    x = 7,939.08

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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.