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Finding the Fourth Proportional to 9,833, 13,566.66 and 5,852.12

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Solution

The fourth proportional to 9,833, 13,566.66 and 5,852.12 is: 8,074.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833 : 13,566.66 = 5,852.12 : x
  2. Step 2: Convert to fraction form
    9,833/13,566.66 = 5,852.12/x
  3. Step 3: Cross multiply
    9,833x = 13,566.66 × 5,852.12
  4. Step 4: Simplify right side
    9,833x = 79,393,722.32
  5. Step 5: Solve for x
    x = 79,393,722.32/9,833
  6. Step 6: Final answer
    x = 8,074.21

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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.