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Finding the Fourth Proportional to 9,664.06, 13,337.74 and 6,127.60

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Solution

The fourth proportional to 9,664.06, 13,337.74 and 6,127.60 is: 8,456.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.06 : 13,337.74 = 6,127.60 : x
  2. Step 2: Convert to fraction form
    9,664.06/13,337.74 = 6,127.60/x
  3. Step 3: Cross multiply
    9,664.06x = 13,337.74 × 6,127.60
  4. Step 4: Simplify right side
    9,664.06x = 81,728,335.62
  5. Step 5: Solve for x
    x = 81,728,335.62/9,664.06
  6. Step 6: Final answer
    x = 8,456.94

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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.