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Finding the Fourth Proportional to 9,836.49, 13,571.94 and 6,010.14

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Solution

The fourth proportional to 9,836.49, 13,571.94 and 6,010.14 is: 8,292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.49 : 13,571.94 = 6,010.14 : x
  2. Step 2: Convert to fraction form
    9,836.49/13,571.94 = 6,010.14/x
  3. Step 3: Cross multiply
    9,836.49x = 13,571.94 × 6,010.14
  4. Step 4: Simplify right side
    9,836.49x = 81,569,259.47
  5. Step 5: Solve for x
    x = 81,569,259.47/9,836.49
  6. Step 6: Final answer
    x = 8,292.52

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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.