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Finding the Fourth Proportional to 9,950.58, 13,729.91 and 5,970.24

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Solution

The fourth proportional to 9,950.58, 13,729.91 and 5,970.24 is: 8,237.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.58 : 13,729.91 = 5,970.24 : x
  2. Step 2: Convert to fraction form
    9,950.58/13,729.91 = 5,970.24/x
  3. Step 3: Cross multiply
    9,950.58x = 13,729.91 × 5,970.24
  4. Step 4: Simplify right side
    9,950.58x = 81,970,828.03
  5. Step 5: Solve for x
    x = 81,970,828.03/9,950.58
  6. Step 6: Final answer
    x = 8,237.79

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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.