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Finding the Fourth Proportional to 9,809.78, 13,537.56 and 5,333.52

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Solution

The fourth proportional to 9,809.78, 13,537.56 and 5,333.52 is: 7,360.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.78 : 13,537.56 = 5,333.52 : x
  2. Step 2: Convert to fraction form
    9,809.78/13,537.56 = 5,333.52/x
  3. Step 3: Cross multiply
    9,809.78x = 13,537.56 × 5,333.52
  4. Step 4: Simplify right side
    9,809.78x = 72,202,847.01
  5. Step 5: Solve for x
    x = 72,202,847.01/9,809.78
  6. Step 6: Final answer
    x = 7,360.29

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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.