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Finding the Fourth Proportional to 9,809.33, 13,537.05 and 5,333.18

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Solution

The fourth proportional to 9,809.33, 13,537.05 and 5,333.18 is: 7,359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.33 : 13,537.05 = 5,333.18 : x
  2. Step 2: Convert to fraction form
    9,809.33/13,537.05 = 5,333.18/x
  3. Step 3: Cross multiply
    9,809.33x = 13,537.05 × 5,333.18
  4. Step 4: Simplify right side
    9,809.33x = 72,195,524.32
  5. Step 5: Solve for x
    x = 72,195,524.32/9,809.33
  6. Step 6: Final answer
    x = 7,359.88

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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.