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Finding the Fourth Proportional to 9,210.98, 13,817.49 and 2,638.24

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Solution

The fourth proportional to 9,210.98, 13,817.49 and 2,638.24 is: 3,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210.98 : 13,817.49 = 2,638.24 : x
  2. Step 2: Convert to fraction form
    9,210.98/13,817.49 = 2,638.24/x
  3. Step 3: Cross multiply
    9,210.98x = 13,817.49 × 2,638.24
  4. Step 4: Simplify right side
    9,210.98x = 36,453,810.38
  5. Step 5: Solve for x
    x = 36,453,810.38/9,210.98
  6. Step 6: Final answer
    x = 3,957.65

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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.