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Finding the Fourth Proportional to 9,821.51, 14,732.23 and 2,801.37

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Solution

The fourth proportional to 9,821.51, 14,732.23 and 2,801.37 is: 4,202.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.51 : 14,732.23 = 2,801.37 : x
  2. Step 2: Convert to fraction form
    9,821.51/14,732.23 = 2,801.37/x
  3. Step 3: Cross multiply
    9,821.51x = 14,732.23 × 2,801.37
  4. Step 4: Simplify right side
    9,821.51x = 41,270,427.16
  5. Step 5: Solve for x
    x = 41,270,427.16/9,821.51
  6. Step 6: Final answer
    x = 4,202.05

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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.