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Finding the Fourth Proportional to 9,926.48, 13,698.72 and 5,450.42

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Solution

The fourth proportional to 9,926.48, 13,698.72 and 5,450.42 is: 7,521.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.48 : 13,698.72 = 5,450.42 : x
  2. Step 2: Convert to fraction form
    9,926.48/13,698.72 = 5,450.42/x
  3. Step 3: Cross multiply
    9,926.48x = 13,698.72 × 5,450.42
  4. Step 4: Simplify right side
    9,926.48x = 74,663,708.97
  5. Step 5: Solve for x
    x = 74,663,708.97/9,926.48
  6. Step 6: Final answer
    x = 7,521.67

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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.