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Finding the Fourth Proportional to 9,551.33, 14,326.92 and 5,196.47

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Solution

The fourth proportional to 9,551.33, 14,326.92 and 5,196.47 is: 7,794.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,551.33 : 14,326.92 = 5,196.47 : x
  2. Step 2: Convert to fraction form
    9,551.33/14,326.92 = 5,196.47/x
  3. Step 3: Cross multiply
    9,551.33x = 14,326.92 × 5,196.47
  4. Step 4: Simplify right side
    9,551.33x = 74,449,338.34
  5. Step 5: Solve for x
    x = 74,449,338.34/9,551.33
  6. Step 6: Final answer
    x = 7,794.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.