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Finding the Fourth Proportional to 9,926.58, 13,698.61 and 5,450.41

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Solution

The fourth proportional to 9,926.58, 13,698.61 and 5,450.41 is: 7,521.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.58 : 13,698.61 = 5,450.41 : x
  2. Step 2: Convert to fraction form
    9,926.58/13,698.61 = 5,450.41/x
  3. Step 3: Cross multiply
    9,926.58x = 13,698.61 × 5,450.41
  4. Step 4: Simplify right side
    9,926.58x = 74,663,040.93
  5. Step 5: Solve for x
    x = 74,663,040.93/9,926.58
  6. Step 6: Final answer
    x = 7,521.53

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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.