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Finding the Fourth Proportional to 9,257.85, 13,888.21 and 3,016.40

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Solution

The fourth proportional to 9,257.85, 13,888.21 and 3,016.40 is: 4,525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.85 : 13,888.21 = 3,016.40 : x
  2. Step 2: Convert to fraction form
    9,257.85/13,888.21 = 3,016.40/x
  3. Step 3: Cross multiply
    9,257.85x = 13,888.21 × 3,016.40
  4. Step 4: Simplify right side
    9,257.85x = 41,892,396.64
  5. Step 5: Solve for x
    x = 41,892,396.64/9,257.85
  6. Step 6: Final answer
    x = 4,525.07

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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.