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Finding the Fourth Proportional to 9,852.26, 13,596.10 and 5,660.50

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Solution

The fourth proportional to 9,852.26, 13,596.10 and 5,660.50 is: 7,811.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.26 : 13,596.10 = 5,660.50 : x
  2. Step 2: Convert to fraction form
    9,852.26/13,596.10 = 5,660.50/x
  3. Step 3: Cross multiply
    9,852.26x = 13,596.10 × 5,660.50
  4. Step 4: Simplify right side
    9,852.26x = 76,960,724.05
  5. Step 5: Solve for x
    x = 76,960,724.05/9,852.26
  6. Step 6: Final answer
    x = 7,811.48

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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.