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Finding the Fourth Proportional to 9,268.14, 13,886.04 and 7,718.13

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Solution

The fourth proportional to 9,268.14, 13,886.04 and 7,718.13 is: 11,563.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268.14 : 13,886.04 = 7,718.13 : x
  2. Step 2: Convert to fraction form
    9,268.14/13,886.04 = 7,718.13/x
  3. Step 3: Cross multiply
    9,268.14x = 13,886.04 × 7,718.13
  4. Step 4: Simplify right side
    9,268.14x = 107,174,261.91
  5. Step 5: Solve for x
    x = 107,174,261.91/9,268.14
  6. Step 6: Final answer
    x = 11,563.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.