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Finding the Fourth Proportional to 9,824.94, 13,571.69 and 7,849.35

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Solution

The fourth proportional to 9,824.94, 13,571.69 and 7,849.35 is: 10,842.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.94 : 13,571.69 = 7,849.35 : x
  2. Step 2: Convert to fraction form
    9,824.94/13,571.69 = 7,849.35/x
  3. Step 3: Cross multiply
    9,824.94x = 13,571.69 × 7,849.35
  4. Step 4: Simplify right side
    9,824.94x = 106,528,905.65
  5. Step 5: Solve for x
    x = 106,528,905.65/9,824.94
  6. Step 6: Final answer
    x = 10,842.70

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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.