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Finding the Fourth Proportional to 9,926.70, 13,698.99 and 5,450.64

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Solution

The fourth proportional to 9,926.70, 13,698.99 and 5,450.64 is: 7,521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.70 : 13,698.99 = 5,450.64 : x
  2. Step 2: Convert to fraction form
    9,926.70/13,698.99 = 5,450.64/x
  3. Step 3: Cross multiply
    9,926.70x = 13,698.99 × 5,450.64
  4. Step 4: Simplify right side
    9,926.70x = 74,668,262.85
  5. Step 5: Solve for x
    x = 74,668,262.85/9,926.70
  6. Step 6: Final answer
    x = 7,521.96

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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.