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Finding the Fourth Proportional to 9,833.92, 13,564.61 and 5,852.06

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Solution

The fourth proportional to 9,833.92, 13,564.61 and 5,852.06 is: 8,072.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.92 : 13,564.61 = 5,852.06 : x
  2. Step 2: Convert to fraction form
    9,833.92/13,564.61 = 5,852.06/x
  3. Step 3: Cross multiply
    9,833.92x = 13,564.61 × 5,852.06
  4. Step 4: Simplify right side
    9,833.92x = 79,380,911.60
  5. Step 5: Solve for x
    x = 79,380,911.60/9,833.92
  6. Step 6: Final answer
    x = 8,072.15

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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.