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Finding the Fourth Proportional to 9,259.82, 13,886.84 and 3,102.38

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Solution

The fourth proportional to 9,259.82, 13,886.84 and 3,102.38 is: 4,652.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.82 : 13,886.84 = 3,102.38 : x
  2. Step 2: Convert to fraction form
    9,259.82/13,886.84 = 3,102.38/x
  3. Step 3: Cross multiply
    9,259.82x = 13,886.84 × 3,102.38
  4. Step 4: Simplify right side
    9,259.82x = 43,082,185.25
  5. Step 5: Solve for x
    x = 43,082,185.25/9,259.82
  6. Step 6: Final answer
    x = 4,652.60

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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.