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Finding the Fourth Proportional to 9,585.39, 13,227.71 and 5,336.33

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Solution

The fourth proportional to 9,585.39, 13,227.71 and 5,336.33 is: 7,364.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.39 : 13,227.71 = 5,336.33 : x
  2. Step 2: Convert to fraction form
    9,585.39/13,227.71 = 5,336.33/x
  3. Step 3: Cross multiply
    9,585.39x = 13,227.71 × 5,336.33
  4. Step 4: Simplify right side
    9,585.39x = 70,587,407.29
  5. Step 5: Solve for x
    x = 70,587,407.29/9,585.39
  6. Step 6: Final answer
    x = 7,364.06

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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.