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Finding the Fourth Proportional to 9,809.52, 13,537.41 and 5,333.58

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Solution

The fourth proportional to 9,809.52, 13,537.41 and 5,333.58 is: 7,360.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.52 : 13,537.41 = 5,333.58 : x
  2. Step 2: Convert to fraction form
    9,809.52/13,537.41 = 5,333.58/x
  3. Step 3: Cross multiply
    9,809.52x = 13,537.41 × 5,333.58
  4. Step 4: Simplify right side
    9,809.52x = 72,202,859.23
  5. Step 5: Solve for x
    x = 72,202,859.23/9,809.52
  6. Step 6: Final answer
    x = 7,360.49

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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.