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Finding the Fourth Proportional to 9,116.72, 13,679.72 and 4,185.84

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Solution

The fourth proportional to 9,116.72, 13,679.72 and 4,185.84 is: 6,280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.72 : 13,679.72 = 4,185.84 : x
  2. Step 2: Convert to fraction form
    9,116.72/13,679.72 = 4,185.84/x
  3. Step 3: Cross multiply
    9,116.72x = 13,679.72 × 4,185.84
  4. Step 4: Simplify right side
    9,116.72x = 57,261,119.16
  5. Step 5: Solve for x
    x = 57,261,119.16/9,116.72
  6. Step 6: Final answer
    x = 6,280.89

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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.