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Finding the Fourth Proportional to 9,632.73, 13,291.63 and 5,853.88

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Solution

The fourth proportional to 9,632.73, 13,291.63 and 5,853.88 is: 8,077.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.73 : 13,291.63 = 5,853.88 : x
  2. Step 2: Convert to fraction form
    9,632.73/13,291.63 = 5,853.88/x
  3. Step 3: Cross multiply
    9,632.73x = 13,291.63 × 5,853.88
  4. Step 4: Simplify right side
    9,632.73x = 77,807,609.00
  5. Step 5: Solve for x
    x = 77,807,609.00/9,632.73
  6. Step 6: Final answer
    x = 8,077.42

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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.