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Finding the Fourth Proportional to 9,886.32, 13,648.14 and 6,716.37

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Solution

The fourth proportional to 9,886.32, 13,648.14 and 6,716.37 is: 9,272.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.32 : 13,648.14 = 6,716.37 : x
  2. Step 2: Convert to fraction form
    9,886.32/13,648.14 = 6,716.37/x
  3. Step 3: Cross multiply
    9,886.32x = 13,648.14 × 6,716.37
  4. Step 4: Simplify right side
    9,886.32x = 91,665,958.05
  5. Step 5: Solve for x
    x = 91,665,958.05/9,886.32
  6. Step 6: Final answer
    x = 9,272.00

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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.