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Finding the Fourth Proportional to 9,257.90, 13,886.84 and 3,017.91

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Solution

The fourth proportional to 9,257.90, 13,886.84 and 3,017.91 is: 4,526.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.90 : 13,886.84 = 3,017.91 : x
  2. Step 2: Convert to fraction form
    9,257.90/13,886.84 = 3,017.91/x
  3. Step 3: Cross multiply
    9,257.90x = 13,886.84 × 3,017.91
  4. Step 4: Simplify right side
    9,257.90x = 41,909,233.30
  5. Step 5: Solve for x
    x = 41,909,233.30/9,257.90
  6. Step 6: Final answer
    x = 4,526.86

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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.