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Finding the Fourth Proportional to 9,926.90, 13,698.66 and 5,950.22

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Solution

The fourth proportional to 9,926.90, 13,698.66 and 5,950.22 is: 8,211.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.90 : 13,698.66 = 5,950.22 : x
  2. Step 2: Convert to fraction form
    9,926.90/13,698.66 = 5,950.22/x
  3. Step 3: Cross multiply
    9,926.90x = 13,698.66 × 5,950.22
  4. Step 4: Simplify right side
    9,926.90x = 81,510,040.71
  5. Step 5: Solve for x
    x = 81,510,040.71/9,926.90
  6. Step 6: Final answer
    x = 8,211.03

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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.