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Finding the Fourth Proportional to 9,201.23, 13,810.50 and 4,821.75

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Solution

The fourth proportional to 9,201.23, 13,810.50 and 4,821.75 is: 7,237.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.23 : 13,810.50 = 4,821.75 : x
  2. Step 2: Convert to fraction form
    9,201.23/13,810.50 = 4,821.75/x
  3. Step 3: Cross multiply
    9,201.23x = 13,810.50 × 4,821.75
  4. Step 4: Simplify right side
    9,201.23x = 66,590,778.38
  5. Step 5: Solve for x
    x = 66,590,778.38/9,201.23
  6. Step 6: Final answer
    x = 7,237.16

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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.