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Finding the Fourth Proportional to 9,809.27, 13,537.06 and 5,333.33

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Solution

The fourth proportional to 9,809.27, 13,537.06 and 5,333.33 is: 7,360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.27 : 13,537.06 = 5,333.33 : x
  2. Step 2: Convert to fraction form
    9,809.27/13,537.06 = 5,333.33/x
  3. Step 3: Cross multiply
    9,809.27x = 13,537.06 × 5,333.33
  4. Step 4: Simplify right side
    9,809.27x = 72,197,648.72
  5. Step 5: Solve for x
    x = 72,197,648.72/9,809.27
  6. Step 6: Final answer
    x = 7,360.14

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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.