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Finding the Fourth Proportional to 9,926.95, 13,696.62 and 5,945.24

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Solution

The fourth proportional to 9,926.95, 13,696.62 and 5,945.24 is: 8,202.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.95 : 13,696.62 = 5,945.24 : x
  2. Step 2: Convert to fraction form
    9,926.95/13,696.62 = 5,945.24/x
  3. Step 3: Cross multiply
    9,926.95x = 13,696.62 × 5,945.24
  4. Step 4: Simplify right side
    9,926.95x = 81,429,693.09
  5. Step 5: Solve for x
    x = 81,429,693.09/9,926.95
  6. Step 6: Final answer
    x = 8,202.89

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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.