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Finding the Fourth Proportional to 9,665.06, 13,332.94 and 6,122.66

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Solution

The fourth proportional to 9,665.06, 13,332.94 and 6,122.66 is: 8,446.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.06 : 13,332.94 = 6,122.66 : x
  2. Step 2: Convert to fraction form
    9,665.06/13,332.94 = 6,122.66/x
  3. Step 3: Cross multiply
    9,665.06x = 13,332.94 × 6,122.66
  4. Step 4: Simplify right side
    9,665.06x = 81,632,976.45
  5. Step 5: Solve for x
    x = 81,632,976.45/9,665.06
  6. Step 6: Final answer
    x = 8,446.20

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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.