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Finding the Fourth Proportional to 9,926.47, 13,698.68 and 5,450.17

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Solution

The fourth proportional to 9,926.47, 13,698.68 and 5,450.17 is: 7,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.47 : 13,698.68 = 5,450.17 : x
  2. Step 2: Convert to fraction form
    9,926.47/13,698.68 = 5,450.17/x
  3. Step 3: Cross multiply
    9,926.47x = 13,698.68 × 5,450.17
  4. Step 4: Simplify right side
    9,926.47x = 74,660,134.78
  5. Step 5: Solve for x
    x = 74,660,134.78/9,926.47
  6. Step 6: Final answer
    x = 7,521.32

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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.