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Finding the Fourth Proportional to 9,828.07, 13,576 and 7,852.48

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Solution

The fourth proportional to 9,828.07, 13,576 and 7,852.48 is: 10,847.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.07 : 13,576 = 7,852.48 : x
  2. Step 2: Convert to fraction form
    9,828.07/13,576 = 7,852.48/x
  3. Step 3: Cross multiply
    9,828.07x = 13,576 × 7,852.48
  4. Step 4: Simplify right side
    9,828.07x = 106,605,200.60
  5. Step 5: Solve for x
    x = 106,605,200.60/9,828.07
  6. Step 6: Final answer
    x = 10,847.02

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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.