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Finding the Fourth Proportional to 9,257.26, 13,886.16 and 3,017.20

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Solution

The fourth proportional to 9,257.26, 13,886.16 and 3,017.20 is: 4,525.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.26 : 13,886.16 = 3,017.20 : x
  2. Step 2: Convert to fraction form
    9,257.26/13,886.16 = 3,017.20/x
  3. Step 3: Cross multiply
    9,257.26x = 13,886.16 × 3,017.20
  4. Step 4: Simplify right side
    9,257.26x = 41,897,321.95
  5. Step 5: Solve for x
    x = 41,897,321.95/9,257.26
  6. Step 6: Final answer
    x = 4,525.89

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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.