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Finding the Fourth Proportional to 9,796.52, 14,747.74 and 8,924.63

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Solution

The fourth proportional to 9,796.52, 14,747.74 and 8,924.63 is: 13,435.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.52 : 14,747.74 = 8,924.63 : x
  2. Step 2: Convert to fraction form
    9,796.52/14,747.74 = 8,924.63/x
  3. Step 3: Cross multiply
    9,796.52x = 14,747.74 × 8,924.63
  4. Step 4: Simplify right side
    9,796.52x = 131,618,071.41
  5. Step 5: Solve for x
    x = 131,618,071.41/9,796.52
  6. Step 6: Final answer
    x = 13,435.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.