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Finding the Fourth Proportional to 9,837.15, 13,571.94 and 6,007.40

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Solution

The fourth proportional to 9,837.15, 13,571.94 and 6,007.40 is: 8,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.15 : 13,571.94 = 6,007.40 : x
  2. Step 2: Convert to fraction form
    9,837.15/13,571.94 = 6,007.40/x
  3. Step 3: Cross multiply
    9,837.15x = 13,571.94 × 6,007.40
  4. Step 4: Simplify right side
    9,837.15x = 81,532,021.83
  5. Step 5: Solve for x
    x = 81,532,021.83/9,837.15
  6. Step 6: Final answer
    x = 8,288.17

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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.