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Finding the Fourth Proportional to 9,862.26, 14,797.72 and 5,181.18

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Solution

The fourth proportional to 9,862.26, 14,797.72 and 5,181.18 is: 7,774.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.26 : 14,797.72 = 5,181.18 : x
  2. Step 2: Convert to fraction form
    9,862.26/14,797.72 = 5,181.18/x
  3. Step 3: Cross multiply
    9,862.26x = 14,797.72 × 5,181.18
  4. Step 4: Simplify right side
    9,862.26x = 76,669,572.75
  5. Step 5: Solve for x
    x = 76,669,572.75/9,862.26
  6. Step 6: Final answer
    x = 7,774.04

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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.