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Finding the Fourth Proportional to 9,609.02, 13,259.31 and 5,836.94

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Solution

The fourth proportional to 9,609.02, 13,259.31 and 5,836.94 is: 8,054.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.02 : 13,259.31 = 5,836.94 : x
  2. Step 2: Convert to fraction form
    9,609.02/13,259.31 = 5,836.94/x
  3. Step 3: Cross multiply
    9,609.02x = 13,259.31 × 5,836.94
  4. Step 4: Simplify right side
    9,609.02x = 77,393,796.91
  5. Step 5: Solve for x
    x = 77,393,796.91/9,609.02
  6. Step 6: Final answer
    x = 8,054.29

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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.