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Finding the Fourth Proportional to 9,809.93, 13,535.77 and 5,503.16

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Solution

The fourth proportional to 9,809.93, 13,535.77 and 5,503.16 is: 7,593.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.93 : 13,535.77 = 5,503.16 : x
  2. Step 2: Convert to fraction form
    9,809.93/13,535.77 = 5,503.16/x
  3. Step 3: Cross multiply
    9,809.93x = 13,535.77 × 5,503.16
  4. Step 4: Simplify right side
    9,809.93x = 74,489,508.03
  5. Step 5: Solve for x
    x = 74,489,508.03/9,809.93
  6. Step 6: Final answer
    x = 7,593.28

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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.