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Finding the Fourth Proportional to 9,760.06, 13,470.87 and 6,617.26

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Solution

The fourth proportional to 9,760.06, 13,470.87 and 6,617.26 is: 9,133.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.06 : 13,470.87 = 6,617.26 : x
  2. Step 2: Convert to fraction form
    9,760.06/13,470.87 = 6,617.26/x
  3. Step 3: Cross multiply
    9,760.06x = 13,470.87 × 6,617.26
  4. Step 4: Simplify right side
    9,760.06x = 89,140,249.22
  5. Step 5: Solve for x
    x = 89,140,249.22/9,760.06
  6. Step 6: Final answer
    x = 9,133.17

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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.