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Finding the Fourth Proportional to 9,144.85, 13,718.58 and 2,820.27

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Solution

The fourth proportional to 9,144.85, 13,718.58 and 2,820.27 is: 4,230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.85 : 13,718.58 = 2,820.27 : x
  2. Step 2: Convert to fraction form
    9,144.85/13,718.58 = 2,820.27/x
  3. Step 3: Cross multiply
    9,144.85x = 13,718.58 × 2,820.27
  4. Step 4: Simplify right side
    9,144.85x = 38,690,038.07
  5. Step 5: Solve for x
    x = 38,690,038.07/9,144.85
  6. Step 6: Final answer
    x = 4,230.80

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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.