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Finding the Fourth Proportional to 9,926.42, 13,699.94 and 5,948.51

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Solution

The fourth proportional to 9,926.42, 13,699.94 and 5,948.51 is: 8,209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.42 : 13,699.94 = 5,948.51 : x
  2. Step 2: Convert to fraction form
    9,926.42/13,699.94 = 5,948.51/x
  3. Step 3: Cross multiply
    9,926.42x = 13,699.94 × 5,948.51
  4. Step 4: Simplify right side
    9,926.42x = 81,494,131.85
  5. Step 5: Solve for x
    x = 81,494,131.85/9,926.42
  6. Step 6: Final answer
    x = 8,209.83

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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.