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Finding the Fourth Proportional to 9,809.92, 13,537.74 and 5,333.68

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Solution

The fourth proportional to 9,809.92, 13,537.74 and 5,333.68 is: 7,360.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.92 : 13,537.74 = 5,333.68 : x
  2. Step 2: Convert to fraction form
    9,809.92/13,537.74 = 5,333.68/x
  3. Step 3: Cross multiply
    9,809.92x = 13,537.74 × 5,333.68
  4. Step 4: Simplify right side
    9,809.92x = 72,205,973.08
  5. Step 5: Solve for x
    x = 72,205,973.08/9,809.92
  6. Step 6: Final answer
    x = 7,360.51

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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.