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Finding the Fourth Proportional to 9,867.33, 13,614.47 and 6,335.33

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Solution

The fourth proportional to 9,867.33, 13,614.47 and 6,335.33 is: 8,741.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.33 : 13,614.47 = 6,335.33 : x
  2. Step 2: Convert to fraction form
    9,867.33/13,614.47 = 6,335.33/x
  3. Step 3: Cross multiply
    9,867.33x = 13,614.47 × 6,335.33
  4. Step 4: Simplify right side
    9,867.33x = 86,252,160.23
  5. Step 5: Solve for x
    x = 86,252,160.23/9,867.33
  6. Step 6: Final answer
    x = 8,741.19

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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.