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Finding the Fourth Proportional to 9,633.06, 13,294.80 and 6,096.06

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Solution

The fourth proportional to 9,633.06, 13,294.80 and 6,096.06 is: 8,413.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.06 : 13,294.80 = 6,096.06 : x
  2. Step 2: Convert to fraction form
    9,633.06/13,294.80 = 6,096.06/x
  3. Step 3: Cross multiply
    9,633.06x = 13,294.80 × 6,096.06
  4. Step 4: Simplify right side
    9,633.06x = 81,045,898.49
  5. Step 5: Solve for x
    x = 81,045,898.49/9,633.06
  6. Step 6: Final answer
    x = 8,413.31

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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.