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Finding the Fourth Proportional to 9,809.39, 13,536.81 and 5,333.10

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Solution

The fourth proportional to 9,809.39, 13,536.81 and 5,333.10 is: 7,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.39 : 13,536.81 = 5,333.10 : x
  2. Step 2: Convert to fraction form
    9,809.39/13,536.81 = 5,333.10/x
  3. Step 3: Cross multiply
    9,809.39x = 13,536.81 × 5,333.10
  4. Step 4: Simplify right side
    9,809.39x = 72,193,161.41
  5. Step 5: Solve for x
    x = 72,193,161.41/9,809.39
  6. Step 6: Final answer
    x = 7,359.60

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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.